rational expressions

[pallid storm]

i have a question how did they get (y^2-2v-8) etc???

[pallid storm]

i know all the steps up to the making all the expressions nezt to each other i just dont get how they got -8

?

[valid void]

,tex I don’t see the $(y^{2} - 2v - 8)$.

[outer vapor]

@valid void

[pallid storm]

yes you do

[valid void]

?

[pallid storm]

how did they get -8

[valid void]

Also its v not y.

[pallid storm]

okay but how

[valid void]

The only $-8$ I see is in $v - 8$.

[outer vapor]

@valid void

[pallid storm]

its this one

just explain how did they get this

[valid void]

The $3(v^{2} - 2v - 8)$?

[outer vapor]

@valid void

[pallid storm]

yes

[valid void]

Do you see the $3(v - 4)(v + 2)$ in the expression above?

[outer vapor]

@valid void

[pallid storm]

teah

yeah

[valid void]

Alr

Do you know what the FOIL method is?

[pallid storm]

i do

i just dont get how

[valid void]

,tex FOIL
F: First: $v \times v$ $$ $$
O: Outer: $v \times 2$ $$ $$
I: Inner: $-4 \times v$ $$ $$
L: Last: $-4 \times 2$ $$ $$

[pallid storm]

and thats ut?

[outer vapor]

@valid void

[pallid storm]

what about the 3?

[valid void]

Then we have to add it all together

[valid void]

We’ll come back to that

[valid void]

,tex $$3(v \times v + v \times 2 - 4 \times v - 4\times 2)$$ $$3(v^{2} + 2v - 4v -8)$$ $$3(v^{2} - 2v - 8)$$

[pallid storm]

ok

[outer vapor]

@valid void

[valid void]

@pallid storm do you get this?

It’s fine if you dont

[pallid storm]

yes

[valid void]

Alr

So did that answer your question

[pallid storm]

i hace anothwr one

also how do u simplify a number like 2x^3 or u^2-25

[valid void]

$2x^{3}$ cannot be simplified. It can, however, be expanded to $2 \times x \times x \times x$. $$ $$ $u^{2} - 25$ can be simplified through factoring. Would you like me to show you how?

[outer vapor]

@valid void

[pallid storm]

tes

yes

[valid void]

Okay im going to teach you a method that is likely different what you learned in school

Do you know what a, b, and c are in this equation?

[pallid storm]

my dinal is in 2 hours so it had to be quick

tes

yes

no

i dont

[valid void]

Oh alr then

,tex Standard form of a parabola: $$ax^{2} + bx + c$$ $$u^{2} - 25 = u^2 + 0x -25$$ $$a = 1, b = 0, c = -25$$

[outer vapor]

@valid void

[valid void]

Now we have to make to variables $p$ and $q$ where $p + q = b$ and $p \times q = a \times c$

[outer vapor]

@valid void

[valid void]

I gtg sry