@UsukiDoll

- lisa2345

@UsukiDoll

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- UsukiDoll

hiiiii

- lisa2345

hey :D

- lisa2345

okay first question

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## More answers

- lisa2345

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- lisa2345

heres the first 3

- UsukiDoll

ok can you hold a minute I'm answering another question

- lisa2345

yes I can

- UsukiDoll

k back

- UsukiDoll

so GCF is the greatest common factor.. what doe the equation have in common

- UsukiDoll

so what does the equation \[6y^2+12xy^2 \] have in common? hint: there's a variable and a number in common

- lisa2345

umm this is for 10?

- UsukiDoll

yes

- lisa2345

they both have 6 and Y^2

- UsukiDoll

yes they do

- UsukiDoll

so when there is something in common we can place that common part to the side.. so 6y^2 ( whatever there is left)

- UsukiDoll

so since a 1 and 2x is left behind we have
6y^2(1+2x)
we can check easily by distributing them back
6y^2+12xy^2

- lisa2345

so it A?

- UsukiDoll

yes

- UsukiDoll

for #11.. there is only a number in common because there are 2 terms with a variable but the last one is just a number

- lisa2345

3 is a common factor

- UsukiDoll

yes :D

- UsukiDoll

so 3 is on the side and what do we have left ( ) ?

- lisa2345

its B?

- UsukiDoll

no because originally we have 3 terms.. B only has two terms.

- UsukiDoll

there's a way to make this a bit faster... since 3 is the common factor we just divide 12/3 18/3 and 3/3

- lisa2345

Got you.. so its D?

- UsukiDoll

yes

- lisa2345

for twelve, i have to right the answer out.

- UsukiDoll

hmm there is just a number is common.. it's similar to the previous problem

- lisa2345

okay.

- UsukiDoll

so what number can be used to divide 3, 9, and 27 ?

- lisa2345

3

- lisa2345

is my answer ...

- lisa2345

3(x2-3x+9) ?

- UsukiDoll

wow you're picking this up fast that's right \[3(x^2-3x+9) \rightarrow 3x^2-9x+27\]

- lisa2345

okay next 3

- lisa2345

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- lisa2345

is 13 d?

- lisa2345

just a quick guess :/

- lisa2345

wait no I mean b

- UsukiDoll

yes it is B for 13

- lisa2345

14 b also?

- UsukiDoll

yes

- lisa2345

okay 15 now

- lisa2345

2 is common

- UsukiDoll

yes 2 is common

- lisa2345

2(x2+9x+8)

- UsukiDoll

correct

- lisa2345

but I have to do the +C -C

- UsukiDoll

hmmm that would mean that x^2+9x+8 is factorable

- lisa2345

2(x+8)(x+1)

- UsukiDoll

so there's more than just factoring out the 2 .... SOOO FAST! :D

- lisa2345

did I get it right?

- UsukiDoll

yeah

- lisa2345

yay! next 3

- lisa2345

well 2 lol

- lisa2345

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- UsukiDoll

we need long division for this xD

- lisa2345

what does that mean?

- lisa2345

I don't understand :/

- UsukiDoll

I'm getting burned out.. it's like .. oh mai brain T_T

- lisa2345

lol geeeeez louiseeee

- UsukiDoll

wait. see now I'm not thinking right... we just use factoring and take out the like terms

- UsukiDoll

the choices gave me a hint... if it was long division the answer would look different.. ok I can do this now xD!

- UsukiDoll

for the first problem, there is a perfect square binomial

- lisa2345

Yay we are back on the road lol and okay.

- UsukiDoll

so x^2-16... that's a perfect square in the form of (x^2-y^2) = (x+y)(x-y)... so what is the square root of 16?

- lisa2345

4?

- UsukiDoll

yes so we have (x+4)(x-4) in the denominator.

- lisa2345

that makes it A?

- UsukiDoll

I think we got lucky on the numerator part of this since we need to find a combination of numbers that can produce an 8 and a 16
4 x 4 = 16
4+4 is also 8 and since the pattern is all plus signs, our end result should be something like (x+4)(x+4) and wow it is A

- UsukiDoll

because there is at least one pair of x+4 (both in numerator and denominator) in common so that gets cancelled.

- lisa2345

okay 17 now

- UsukiDoll

numerator is that there is one number in common
denominator is that it can be split up since 12 is 6 x 2 = 12 and 6-2 = 4 the problem is should the 2 be negative or the 6 be negative in order to achieve the result of x^2+4x-12

- lisa2345

(x+6)(x-2)

- UsukiDoll

yes an for the numerator?

- lisa2345

5

- UsukiDoll

yes 5 is common
5(x-2)/ (x+6)(x-2) who gets canceled out?

- lisa2345

(x-2)

- UsukiDoll

yes so the answer is 5/(x+6)

- lisa2345

d?

- UsukiDoll

I have to go for a bit... xD need a break xD!

- lisa2345

okay

- lisa2345

You there?

- lisa2345

hello?

- UsukiDoll

I have to go eat dinner. I'll be back

- lisa2345

okay :)

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