Pascal triangle and the expanding the binomial using it | Mathematics | Page 1

coarse lodge Oct 13, 2024, 10:30 PM

#

I need someone to explain it to me

grim mulchBOT Oct 13, 2024, 10:31 PM

#

coarse lodge I need someone to explain it to me

#

Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
Wait patiently for a helper to come along.
Once someone helps you, say thank you and close the thread with:
```
+close
```
Feel free to nominate the person for helper of the week in #helper-nominations
Do not ping the mods, unless someone is breaking the rules. If there is a conflict amongst multiple helpers feel free to ping “Helper Mod”
If you're happy with the help you got here, and the server overall, you can contribute financially as well:

coarse lodge Oct 13, 2024, 10:31 PM

#

Make any question, I need to clarify it in my head

azure ridge Oct 13, 2024, 10:32 PM

#

coarse lodge I need someone to explain it to me

so, what specifically are you asking?

#

their relationship, or an actual expansion problem?

coarse lodge Oct 13, 2024, 10:33 PM

#

actual expansion problem

#

for example

azure ridge Oct 13, 2024, 10:33 PM

#

perfect

coarse lodge Oct 13, 2024, 10:33 PM

#

(4x+6y)^4

azure ridge Oct 13, 2024, 10:33 PM

#

yes

#

finding a specific term or expanding?

coarse lodge Oct 13, 2024, 10:34 PM

#

expanding

#

just getting the answer

azure ridge Oct 13, 2024, 10:34 PM

#

if expanding we can represent it as $\sum_{k=0}^{4} \binom{4}{k}(4x)^k\cdot (6y)^{4-k}$

#

so calculate each term and add them together

coarse lodge Oct 13, 2024, 10:35 PM

#

HUH

#

WOAH

#

WAIT

#

#

i mean dis kinda expanding

#

gah leee

azure ridge Oct 13, 2024, 10:36 PM

#

no don’t do that 😅

coarse lodge Oct 13, 2024, 10:36 PM

#

What do you mean

#

My teacher taught that

#

he basically

halcyon dirgeBOT Oct 13, 2024, 10:37 PM

#

;( | 追放された興奮

coarse lodge Oct 13, 2024, 10:37 PM

#

like, let me explain what he taught me

azure ridge Oct 13, 2024, 10:37 PM

#

okay

#

go ahead

coarse lodge Oct 13, 2024, 10:37 PM

#

#

this is what i was taught

#

and what i learnt from, in videos

#

its this kinda problem

coarse lodge Oct 13, 2024, 10:38 PM

#

halcyon dirge **;( \| 追放された興奮**

not this

#

yk

azure ridge Oct 13, 2024, 10:38 PM

#

coarse lodge not this

what i have presented is a simplified and much less messy form.

coarse lodge Oct 13, 2024, 10:38 PM

#

Are you sure?

azure ridge Oct 13, 2024, 10:38 PM

#

yes.

coarse lodge Oct 13, 2024, 10:38 PM

#

Sure, ill go with it

azure ridge Oct 13, 2024, 10:38 PM

#

all you do is calculate each term

coarse lodge Oct 13, 2024, 10:39 PM

#

halcyon dirge **;( \| 追放された興奮**

do i put this in my calc?

azure ridge Oct 13, 2024, 10:39 PM

#

halcyon dirge **;( \| 追放された興奮**

so for k=1, this would be 4*(4x)(6y)^3

azure ridge Oct 13, 2024, 10:39 PM

#

coarse lodge do i put this in my calc?

eh, i don’t know if it will work

coarse lodge Oct 13, 2024, 10:41 PM

#

azure ridge so for k=1, this would be 4*(4x)(6y)^3

im confused, Where to we begin from, where do we break it down

azure ridge Oct 13, 2024, 10:41 PM

#

coarse lodge im confused, Where to we begin from, where do we break it down

?

coarse lodge Oct 13, 2024, 10:42 PM

#

bro idk, im hella confused with this example, can you work it out and ill see if i understand?

azure ridge Oct 13, 2024, 10:42 PM

#

coarse lodge bro idk, im hella confused with this example, can you work it out and ill see if...

alright

#

so we have (6y)^4+4(4x)(6y)^3+6(4x)^2(6y)^2+4(4x)^3(6y)+(4x)^4

coarse lodge Oct 13, 2024, 10:45 PM

#

okay okay

#

why did you start with

#

y first though?

#

i thought it was x

#

x, xy, xy, xy, y

#

or am i buggin

azure ridge Oct 13, 2024, 10:55 PM

#

coarse lodge or am i buggin

it really doesn’t matter

coarse lodge Oct 13, 2024, 10:56 PM

#

Sure I guess, Okay continue

azure ridge Oct 13, 2024, 10:56 PM

#

i just did it according to the sum notation

#

anyways, do you understand?

coarse lodge Oct 13, 2024, 10:57 PM

#

mhm

azure ridge Oct 13, 2024, 11:00 PM

#

alright, try one on your own

coarse lodge Oct 13, 2024, 11:00 PM

#

azure ridge so we have (6y)^4+4(4x)(6y)^3+6(4x)^2(6y)^2+4(4x)^3(6y)+(4x)^4

but u didnt, simplify them

azure ridge Oct 13, 2024, 11:00 PM

#

coarse lodge but u didnt, simplify them

you can simplify it in your own

coarse lodge Oct 13, 2024, 11:00 PM

#

ah, I see

#

this is CONFUSING DAMN

#

I understand it, my problem is

#

I dont know, where to

#

multiply first

#

and in what order to go through

#

like

#

4(4x)(6y)^3

azure ridge Oct 13, 2024, 11:06 PM

#

coarse lodge and in what order to go through

order doesn’t matter

coarse lodge Oct 13, 2024, 11:06 PM

#

where do my multiply first

azure ridge Oct 13, 2024, 11:06 PM

#

oh like that

coarse lodge Oct 13, 2024, 11:06 PM

#

I know order doesnt matter

#

im saying, so i can

#

have a tiny rule to make it simpler

azure ridge Oct 13, 2024, 11:06 PM

#

well we know 6^3=216 right

coarse lodge Oct 13, 2024, 11:06 PM

#

okay

azure ridge Oct 13, 2024, 11:06 PM

#

coarse lodge have a tiny rule to make it simpler

like wdym

coarse lodge Oct 13, 2024, 11:07 PM

#

when i do math i always try to find something to simplify things more

#

u js told me

#

6 powered by 3 is 216

#

now ill know, to start from there

azure ridge Oct 13, 2024, 11:07 PM

#

yeah

coarse lodge Oct 13, 2024, 11:07 PM

#

then move onto the others

azure ridge Oct 13, 2024, 11:07 PM

#

i guess so?

coarse lodge Oct 13, 2024, 11:07 PM

#

as a rule

azure ridge Oct 13, 2024, 11:08 PM

#

this doesn’t really have an “order”

#

or “rule”

coarse lodge Oct 13, 2024, 11:08 PM

#

I know, but u can always simplify it

#

ykwim

azure ridge Oct 13, 2024, 11:08 PM

#

yes

coarse lodge Oct 13, 2024, 11:08 PM

#

alright so

#

like

#

4(4x)(6y)^3

#

where do i start from

#

and where do i end at

#

u said

#

6^3

#

technically im starting from the right

#

so, continue

#

its 216

azure ridge Oct 13, 2024, 11:09 PM

#

coarse lodge its 216

yep

#

now 216x4x4

coarse lodge Oct 13, 2024, 11:10 PM

#

so u start from

#

right to left

#

6^3

#

then u move onto the 4's

#

and u times it with what u had

#

and u got ur answer

azure ridge Oct 13, 2024, 11:11 PM

#

coarse lodge and u times it with what u had

yes

#

or just use calculator if you are allowed

coarse lodge Oct 13, 2024, 11:12 PM

#

okay

#

3456

azure ridge Oct 13, 2024, 11:13 PM

#

coarse lodge 3456

,calc 44216

halcyon dirgeBOT Oct 13, 2024, 11:13 PM

#

Result:

azure ridge Oct 13, 2024, 11:13 PM

#

yep

coarse lodge Oct 13, 2024, 11:16 PM

#

brb

broken schoonerBOT Nov 7, 2024, 6:03 PM

#

@coarse lodge

<:HelpIcon:1304095958283321385>| Help Reminder

Hello bababoeylol, this is a friendly reminder that your thread has been inactive for more than 24 hours. If you no longer need assistance, please consider closing the thread using the +close command.

keen mortar Nov 7, 2024, 7:23 PM

#

+cloee

#

+close

#Pascal triangle and the expanding the binomial using it