Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (lisa2345):

@UsukiDoll

OpenStudy (usukidoll):

hiiiii

OpenStudy (lisa2345):

hey :D

OpenStudy (lisa2345):

okay first question

OpenStudy (lisa2345):

OpenStudy (lisa2345):

heres the first 3

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

yes I can

OpenStudy (usukidoll):

k back

OpenStudy (usukidoll):

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

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

umm this is for 10?

OpenStudy (usukidoll):

yes

OpenStudy (lisa2345):

they both have 6 and Y^2

OpenStudy (usukidoll):

yes they do

OpenStudy (usukidoll):

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

OpenStudy (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

OpenStudy (lisa2345):

so it A?

OpenStudy (usukidoll):

yes

OpenStudy (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

OpenStudy (lisa2345):

3 is a common factor

OpenStudy (usukidoll):

yes :D

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

its B?

OpenStudy (usukidoll):

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

OpenStudy (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

OpenStudy (lisa2345):

Got you.. so its D?

OpenStudy (usukidoll):

yes

OpenStudy (lisa2345):

for twelve, i have to right the answer out.

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

okay.

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

3

OpenStudy (lisa2345):

is my answer ...

OpenStudy (lisa2345):

3(x2-3x+9) ?

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

okay next 3

OpenStudy (lisa2345):

OpenStudy (lisa2345):

is 13 d?

OpenStudy (lisa2345):

just a quick guess :/

OpenStudy (lisa2345):

wait no I mean b

OpenStudy (usukidoll):

yes it is B for 13

OpenStudy (lisa2345):

14 b also?

OpenStudy (usukidoll):

yes

OpenStudy (lisa2345):

okay 15 now

OpenStudy (lisa2345):

2 is common

OpenStudy (usukidoll):

yes 2 is common

OpenStudy (lisa2345):

2(x2+9x+8)

OpenStudy (usukidoll):

correct

OpenStudy (lisa2345):

but I have to do the +C -C

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

2(x+8)(x+1)

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

did I get it right?

OpenStudy (usukidoll):

yeah

OpenStudy (lisa2345):

yay! next 3

OpenStudy (lisa2345):

well 2 lol

OpenStudy (lisa2345):

OpenStudy (usukidoll):

we need long division for this xD

OpenStudy (lisa2345):

what does that mean?

OpenStudy (lisa2345):

I don't understand :/

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

lol geeeeez louiseeee

OpenStudy (usukidoll):

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

OpenStudy (usukidoll):

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

OpenStudy (usukidoll):

for the first problem, there is a perfect square binomial

OpenStudy (lisa2345):

Yay we are back on the road lol and okay.

OpenStudy (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?

OpenStudy (lisa2345):

4?

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

that makes it A?

OpenStudy (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

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

okay 17 now

OpenStudy (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

OpenStudy (lisa2345):

(x+6)(x-2)

OpenStudy (usukidoll):

yes an for the numerator?

OpenStudy (lisa2345):

5

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

(x-2)

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

d?

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

okay

OpenStudy (lisa2345):

You there?

OpenStudy (lisa2345):

hello?

OpenStudy (usukidoll):

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

OpenStudy (lisa2345):

okay :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!