need help with GCF (HCF)

[desert otter]

Anyone able to show me how to do this?

[short wharf]

,rotate

[short wharf]

a) 11(b-3d)
b) 2bc(2db+ac)
c) (-3xy/2)((1/2z)+(3xy/z))

[desert otter]

How would I present the working out for that? @short wharf

[short wharf]

well for example for (a) you can write it out like:
11b-33d
= 11×b-11×3d
= 11(b-3d)

[desert otter]

How would I do that for the third one? Sorry

[short wharf]

same thing

[desert otter]

Yep

[leaden marlin]

Do you need help with the fractions?

[desert otter]

Yeah the whole question it’s a bit complicated, kinda overwhelming me haha

I’m tryna figure it out

[leaden marlin]

ok so do you know what happens when you multiply a fraction

for example 1/2

times 1/2

[desert otter]

Becomes a whole number in that case?

[leaden marlin]

no

[desert otter]

Oops

[leaden marlin]

you multiply the top

by each other

and the bottom by each other

[desert otter]

So 1x2 and 2x1

Idk

Wait no

[leaden marlin]

no

[desert otter]

1x1 and 2x2

[leaden marlin]

whats on top

yes

so which is top and bottom

[desert otter]

The 1 is top

[leaden marlin]

yes

and the bottom?

[desert otter]

2

[leaden marlin]

no

[desert otter]

4?

[leaden marlin]

2x2

yes

so the final answer is

[desert otter]

1/4

[leaden marlin]

correct

so if you do the same thing for the problem

what is the top

[desert otter]

3x9

[leaden marlin]

for the multiplied parts

[desert otter]

3x9 being 27

[leaden marlin]

noo ignore the addition part

[desert otter]

And the bottom being 4x2

[leaden marlin]

for now

[desert otter]

Oh

Alright

[leaden marlin]

wait one sec ima bring the equation down so I can solve it

[desert otter]

Sure

[leaden marlin]

c) (-3xy/2)((1/2z)+(3xy/z))

ok so ignore+(3xy/z)) for now

[desert otter]

alright

[leaden marlin]

what is the top for the first fraction

[desert otter]

1

[leaden marlin]

no the parenthesis for the far left

it is the right for the right parenthesis

hmm i'm proably confusing you

(-3xy/2)

what is the top number for this

[desert otter]

3?

[leaden marlin]

the whole thing

[desert otter]

-3xy

[leaden marlin]

yes

and the bottom?

[desert otter]

2

[leaden marlin]

correct nice job!

now for the seconed fraction

[desert otter]

👍 👍

[leaden marlin]

((1/2z) what is the top number for this

[desert otter]

1 and 2z

[leaden marlin]

also ima stop useing number

since the correct term is numerator

[desert otter]

Sure

[leaden marlin]

and the bottom term is denominator

but what is the top number

you gave me the top and bottom number

[desert otter]

The top number is 1

[leaden marlin]

yes

[desert otter]

Bottom is 2z

[leaden marlin]

correct

so to do it multiply both tops

1 times -3xy for the top

[desert otter]

Which is just -3xy

[leaden marlin]

yes and now what is the bottom?

[desert otter]

2z squared

Wait no

2x4=8 💀

So 8z squared?

[leaden marlin]

wait I will check

you are correct

[desert otter]

Right then

[leaden marlin]

so what is the fulll aswer

[desert otter]

-3xy over 8z squared

[leaden marlin]

yes good job

now for the next concept

adding fractions

to do that both bottoms have to be the same

[desert otter]

Alright

[leaden marlin]

you know what to do to do that?

[desert otter]

Multiple them until they are the same and simplify it

[leaden marlin]

yes

[desert otter]

So you’d make it 18 over 4z instead

[leaden marlin]

so how would you modify (3xy/z for it to work

18?

[desert otter]

I’m not sure

[leaden marlin]

that is ok

[desert otter]

My bad

[leaden marlin]

what is both bottoms

[desert otter]

4z and 2z

[leaden marlin]

ok so 2z is smaller so what do you need to multiply by so they will be equal

[desert otter]

By 2

[leaden marlin]

and if you multiply the bottom you need to multiply the top

[desert otter]

So it would be 4z and 4z squared

[leaden marlin]

squared?

[desert otter]

If I multiply the 2 I don’t have to multiply the Z next to it

?

[leaden marlin]

no

[desert otter]

So it would just be 4z

[leaden marlin]

yes

so now multiply the top by 2

ima solve real quick to make sure you get the right answer

[desert otter]

Sure

The number above the 4z on the right is 9, multiplied by 2 is 18

So 18 over 4z

[leaden marlin]

oh swindle wrote 6 instead of 9 by accident

ok one sec

oh bruh he also forgot the squares

[leaden marlin]

hmm ok bad news but we might have to start over

I was wondering how you got 18

and y^2

[desert otter]

All good

[leaden marlin]

my bad i'm sorry

alright

lets do this

the fractions are both negatives

you know how that works right?

[desert otter]

Yeah it cancels out

Two negatives = positive

[leaden marlin]

well its not multiplication

so they do not cancel out each other

[desert otter]

Oh…

[leaden marlin]

so -2 - (-2) =

-4

[desert otter]

So it’s cumulative

[leaden marlin]

yeah

[desert otter]

Righto

[leaden marlin]

so first thing we notice is the fractions have diffrent bases

you know how do fix that right?

[desert otter]

Multiply until they’re the same

[leaden marlin]

yeah

for one of them

[desert otter]

Yes

[leaden marlin]

so both bases have to be 8zx

[desert otter]

Oh alright

So 4z becomes 8z, that’s x2, 3x2=6, so it’s 3 over 6
While 2z becomes 8z, thats 2x4, 9x4=36 so

Is it 6 over 8z
And 36 over 8z?

I’m not sure I understand

[leaden marlin]

hmmm I'm doing the problem and it seems like theres more to it thank I think

so what is the goal of each question?

[desert otter]

Fully factorise the expression; for terms within each expression, show the working out used to find their highest common factor. Show working out

[leaden marlin]

because I thought it was just symplifying

aight I will be back but ima check to see what that is

[desert otter]

Sure

I’ll see what I can figure out on my own

[leaden marlin]

got it!

quick question which math level ru in?

like algerbra 1 or 2?

or geomentry

[desert otter]

Not quite sure haha

[leaden marlin]

aight I got it!

what I was trying to make you do was Algerbra 2 which is highshcool

[desert otter]

I’m in uni but technically this is high school year 11-12 standard algebra

[leaden marlin]

oh I see

So you are trying to find out what you need to pull out of each equation

(-3xy/2)((1/2z)+(3xy/z)) so he did give you the answer

so what you need to do is get to that

[desert otter]

He did but I still need to show working out

[leaden marlin]

hmmm a lot of it is in your head sadly but I will give you some tips

so what is a number that goes into both bottoms

[desert otter]

I need to show working out for “the terms used within each expression” I don’t know what that means

[leaden marlin]

It seems like you did the first one

[desert otter]

I have the HCF for each number but not the working out

I have no idea what I’m working out after all haha

[leaden marlin]

hmmm

I will just show you what he did

so you proof would be

[desert otter]

•Fully factorise the following expressions
• For the terms within each expression, show working used to find the HCF
•present this working

[leaden marlin]

(-3xy/2)((1/2z)+(-3xy/2)(3xy/z))= (-3xy/2)((1/2z)+(3xy/z))

[leaden marlin]

Math teachers and their complecated use of wordsXD

[desert otter]

💀 yep

I’ve had to google half of the terms he’s used

[leaden marlin]

I apologize though I was teaching you something you already knewXD for the first stuff

[desert otter]

Ah all good

[leaden marlin]

hmmm ima use chatgpt

[desert otter]

I have like 7 pages of work to do within 5 days

😔

As well as another assignment

[leaden marlin]

well your algerbra is fine

[desert otter]

But every question takes me this long to do

[leaden marlin]

but the weird language is a problem

[desert otter]

I have a maths class tomorrow morning, worst case scenario I ask them wtf it means

[leaden marlin]

yeah I mean you know how to do math

but you do not understand the instructions

[desert otter]

To a reasonably basic standard yes, I have issues comprehending the questions though

[desert otter]

Yeah

[leaden marlin]

yeah they turn even the most simple question into the most complecated stuff

I will show you what chat gpt said

[desert otter]

Sure

[leaden marlin]

It sounds like you've been asked to factorize some expressions in your math class, and you need help with the process. Here's a general method that you can use to fully factorize an expression:

Factor out the highest common factor (HCF) of all the terms in the expression. This is done by finding the largest number or variable that divides into all the terms. For example, if the expression is 6x^2 + 12x, the HCF is 6x, since 6x divides into both terms.

Once you have factored out the HCF, you should be left with a simpler expression. Look for any patterns or common factors in this simplified expression, and factor them out as well. For example, if the simplified expression is 2x + 4, you can factor out 2 to get 2(x + 2).

Repeat step 2 until you can no longer factor any further.

Write the fully factorized expression as a product of all the factors you have found.

For each term in the expression, you can show your working by writing out the factors and finding their HCF. Here's an example:

Factorize the expression: 12x^3 - 18x^2 + 6x

Step 1: Factor out the HCF, which is 6x. This gives:

6x(2x^2 - 3x + 1)

For the first term, 12x^3, the factors are 2, 2, 3, x, x, x. The HCF is 2x^2.

For the second term, -18x^2, the factors are 2, 3, 3, x, x. The HCF is 3x^2.

For the third term, 6x, the factors are 2, 3, x. The HCF is 6x.

Step 2: Simplify the expression and factor out any remaining common factors. In this case, the expression cannot be simplified any further.

Step 3: Write the fully factorized expression as a product of all the factors:

6x(2x - 1)(x - 1)

I hope this helps! If you have any further questions or need more help, feel free to ask.

[desert otter]

I’ve been trying to use Mathway but it’s having a spas trying to understand the written part of the question

[leaden marlin]

Well have you heard the online AI stuff?

[desert otter]

Never used AI

[leaden marlin]

yeah mathway is trying to do what I was trying to make you do

[desert otter]

Yeah

[leaden marlin]

solving for x

but that does not seem right

[desert otter]

It doesn’t understand the written part it’s just trying to figure out the factoring

[leaden marlin]

So they want you to pull the greatest common factor first

then factor?

[desert otter]

No damn clue

They want me to find the HCF then show how I found the HCF while also fully factorising the expressions

I just don’t know what to do first

Do I find the HCF of the factors or the HCF of the expressions 😭

It’s allg dude we aren’t getting much done, you able to explain something from a different question for me?

I’ll ask a teacher about this one tomorrow

[leaden marlin]

hmm yeah lets try your other paper

[leaden marlin]

Is there a way to enlarge

[desert otter]

How do I show index laws by using index notation in the last 4 questions

[desert otter]

I can take a photo of each question or the explanation and crop it for you

You want the explanation?

[leaden marlin]

yeah can you crop out all but the top and first row

[desert otter]

Slightly better?

[leaden marlin]

yes

[desert otter]

👍

[leaden marlin]

fractions bars????

[desert otter]

🤷‍♂️

[leaden marlin]

well I can explain fraction bars and index notation

[desert otter]

That’ll help a lot

I dropped out and I’m redoing these classes online with virtually no explanation of terms

[leaden marlin]

don't

the only problem is vocab

not your actual math skills

oh I misread your commentXD

[desert otter]

😂

You’re basically right though

[leaden marlin]

but basically index notation is basically

writing stuff like

2^6

=2x2x2x2x2x2

[desert otter]

Oh so simplifying excess numbers

[leaden marlin]

so expanding it out

[desert otter]

Oh wait so it’s expanding rather than simplifying?

[leaden marlin]

no to help you

I mean would you know 2^6 from the top of your head?

[desert otter]

Yeah fair enough

[leaden marlin]

so basically you can use it to

wait I will show you an example

2^6

2x2x2x2x2x2

[desert otter]

I only have to use index notation and index laws in the last 4 questions

[leaden marlin]

8x8

oh but yeah is is basically a tool

to make it easier to find powers

[desert otter]

For parts a,b,c, and D I have to simplify

[leaden marlin]

well do you know how to solve a

simplifying should be easy

but now you need fraction bars

XD

[desert otter]

2x^2 - 2x

Is simplified

I think

[leaden marlin]

yeah you are right

now the fraction bars

[desert otter]

Add -x and 3x = 2x^2
Subtract 4x from 2x
= 2x^2 - 2x

I think

Idk what a fraction bar is though

I know what a fraction is

But a fraction bar is a term I’m unfamiliar with

[leaden marlin]

you know you algerbra

but the weird languageXD

[desert otter]

😂

[leaden marlin]

well I think I kind know now

if it is 7^-6

you know what that is as a fraction

?

[desert otter]

Uhhhh

[leaden marlin]

it is 1/7^6

cuz negative exponents means it goes on the bottom

so I think they want you to covert negative exponents

if there are any to there fraction form

[desert otter]

They want me to remove negative indices and use a fraction bar instead

[leaden marlin]

and the examples were exponents

[desert otter]

A negative indicator being “-“

[leaden marlin]

yeah

[desert otter]

Right

[leaden marlin]

so 6^-4

is 1/6^4

[desert otter]

I’m not sure I understand sorry

How do we move the 6 to a fraction

[leaden marlin]

do you know what a negative exponent does ?

[desert otter]

Indicates that it is a negative number……?

[leaden marlin]

no it means that it goes on the bottom

[desert otter]

Oh

[leaden marlin]

think about 4^-2

what is that?

[desert otter]

So 1/6 means that there is one 6? Rather than 1 part of 6?

[leaden marlin]

well the exponent stays

too

2^-2

=1/4

[desert otter]

The exponent being the “^-2” part right?

[leaden marlin]

yeah

[desert otter]

Right

And a power would be a whole number?

[leaden marlin]

so bascially they do not want negative exponents in the final answer

yeah

[desert otter]

Right

[leaden marlin]

all it does means that they want the power on the bottom

2^-3

1/8

3^-2

[desert otter]

Right

[leaden marlin]

1/9

so that is what they mean by fraction bars

so if there is no negative exponents

then you do not need to do anything

[desert otter]

For the first question,
Simplified its 2x^2-2x,
So I would write it as 2x/2-2x?

[leaden marlin]

there is no negative exponents in that equation

so you do not use fraction bars

[desert otter]

Oh

So 4x-2x

[leaden marlin]

no the exponent goes to the x not the 2

so you could pull out a 2x

2x(x-1)

[desert otter]

Uhuh

[leaden marlin]

but ignore that

[desert otter]

So the full answer would be 2x(x-1)-2x

[leaden marlin]

noo

[desert otter]

Oh 😔

[leaden marlin]

it is a form of expanding so ignore that

[desert otter]

Oh right

[leaden marlin]

basically when you symplify the first on you are done

no need to make any fractions

[desert otter]

so 2x^2 - 2x is the answer?

[leaden marlin]

yes I don't see how you can symplify anymore

[desert otter]

👍

[leaden marlin]

also I looked at the questions and you only need fraction bars for 1

[desert otter]

Oh

Alright

[leaden marlin]

thats e

but no other ones

[desert otter]

Would you mind walking through E with me?

Wait a sec

With A

I have to remove the negative indices so 2x^2-2x I can’t have the “-“?

[leaden marlin]

no they are referring to exponents

and powers

not constants

[desert otter]

What’s a constant?

[leaden marlin]

full numbers

like 1

[desert otter]

Oh

[leaden marlin]

but you get my point

1

2

3

[desert otter]

Yeah alright

[leaden marlin]

so you seem to be done with a

now e

[desert otter]

Sure

E

[leaden marlin]

ok I got it

so for the first one to the power of negative 1

you distribute

2^1 times the power of negative 1

that equals 2^-1

2 goes to the bottom and pq goes to the top since that was the power of negative 1 before

now time for the seconed numbes

for is to the power of 1 so 4 goes on top

and p^-2 goes on bottom

and q goes on top

so we end up with

(pq/2) times 4q/p^2

now we need index laws

;-;

[desert otter]

Gimme just one second

[leaden marlin]

oh ok!

[desert otter]

Wait so it’s just writing the fraction in the simplest form?

[leaden marlin]

are you talking about the exponent stuff?

[desert otter]

The question in general, is it supposed to be simplified or turned into a simplified fraction

Using “fraction bars”

[leaden marlin]

symplify the whole thing

as much as possible

[desert otter]

Right

[leaden marlin]

also fraction bars just means turn it into a fraction

from what I can tell

[desert otter]

Ok so

Mathway says

2q^2 over p

I’ve got the working out if you’d like

[leaden marlin]

hmm can you show me the video

[leaden marlin]

no I did it right mathway solved it

but you have to use index notation

[desert otter]

👍

[leaden marlin]

in your method

so basically expand it out

then multiply together

[desert otter]

So I would have to do 2q x 2
Over p

?

[leaden marlin]

yeah that is one thing they are unclear on

when to use index bars

[desert otter]

Yeah I’m not sure haha

[leaden marlin]

because I did not symplify all the way

[desert otter]

That’s the only place I can think an index bar would be able to go

Using mathways answer

[leaden marlin]

also for an exponent

do this

2^2

[desert otter]

Oh right

[leaden marlin]

^ this means exponent

[desert otter]

Forgot haha

Yeah

[leaden marlin]

2q(xtimesx)/0

[desert otter]

4(q^2) over p?

[leaden marlin]

hmmm how did you get 4?

[desert otter]

2q^2 = 2qx2q = 4(q^2)

[leaden marlin]

no it equals 2q x q

[desert otter]

Oh snap

[leaden marlin]

remeber the q is exponented

not 2

[desert otter]

Right

[leaden marlin]

but it wants you to use index notation so do qxq instead of

[desert otter]

So it would still have to be 2q^2 over 4

[leaden marlin]

2q times 2q

[desert otter]

2q x 2q over p

Right?

[leaden marlin]

wait I messed up

[desert otter]

That would work

Oh

[leaden marlin]

what I said would not work

since the index notation would make no diffrence

actually what time is it for you

[desert otter]

Like 5:40pm

[leaden marlin]

oh i'm sorry for bailing on you but for me it is 1am

but let me tell you some words of advice

you are smart

[desert otter]

that’s all good dude, thanks for helping me out, you’ve been awesome

[leaden marlin]

the problem is understanding what they are asking

not the content

[desert otter]

Ah man there’s just a lot of stuff I don’t know

[leaden marlin]

Most of it is vocab

but you have the mental capacity to understand it

[desert otter]

I suppose so, get some rest man, tyvm

[leaden marlin]

Although I wasted your time for the fraction I hope I helped with the other stuff

good luck man!

[desert otter]

Is there a way I can archive this forum?

[leaden marlin]

ehhh maybe

[desert otter]

Or do I need to screenshot haha

That’s a lot of photos if so

,help

[iron stirrup]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[desert otter]

,list

[iron stirrup]

My commands!

Use ,ls to obtain a briefer listing, and use ,help <cmd>to view detailed help for a particular command, or ,help to view general help.

If you still have questions, talk to our friendly support team here.

Meta

View or set meta-information about me.
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Page 4/4

[desert otter]

No clue lol, I’ll take screenshots

[leaden marlin]

oh just look up my name for this server

I'm not on her often so it should be easy to find

[desert otter]

But if the room closes all the texts are deleted

[leaden marlin]

hmmm

well all I taught you were index notation is expanding exponents

2^6=2x2x2x2x2x2

[desert otter]

Nevermind fixed it, it won’t go away for a week

[leaden marlin]

For the division bars it is for negative exponents

[leaden marlin]

oh all good oh well seeya good night!

[desert otter]

Yeah but sometimes it helps to just have someone else working with you

[desert otter]

Good night mate

[leaden marlin]

yeah it is a lot more fun and helps you be more focused in it

[desert otter]

Yeah

[thorny lily]

+close