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Mathematics 15 Online
OpenStudy (anonymous):

4a^2-16a+16

OpenStudy (turingtest):

let me guess... factor?

OpenStudy (anonymous):

yes

OpenStudy (unklerhaukus):

..out a four

OpenStudy (anonymous):

i can do foil but not backwards.. sorry

Parth (parthkohli):

= 4a^2 - 8a - 8a + 16 = 4a(a - 2) - 8(a - 2) = (4a - 8)(a - 2)

OpenStudy (turingtest):

@mark_o. Please do not post just the answer without explanation, that is not the goal of this site. Refer to the OS code of conduct if you are unclear on the rules here.

OpenStudy (anonymous):

this is what i got so far 4(a^2-4a+4)

OpenStudy (unklerhaukus):

ok good work, now you just need two number who add to give -4 and multiply to give 4

OpenStudy (anonymous):

i know it 4 and 1 but i need a negative number and if get -1 it wont work

OpenStudy (unklerhaukus):

they might be the same number

OpenStudy (anonymous):

what number do i use?

OpenStudy (unklerhaukus):

(hint: the two numbers that multiply together give 4 and add to give -4 are actually the same number i this case

OpenStudy (unklerhaukus):

*in

OpenStudy (anonymous):

It's actually: 4(a-2)^2 Would you like an explanation?

OpenStudy (anonymous):

yes please

OpenStudy (unklerhaukus):

the numbers you were loking for were -2, and -2

OpenStudy (anonymous):

First you take out the 4. Then since it has two 16's you know it will turn out to be a similiar number. So basically it comes out too 4(a-2)^2. I'm not very good at explaining this, sorry.

OpenStudy (anonymous):

so is it this 4(a-2)^2 ?

OpenStudy (anonymous):

I believe so.

OpenStudy (unklerhaukus):

the step that has not yet been written is\[4(a-2)(a-2)\]

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