Question

What is this factored completely?
http://i.imgur.com/4XnAV.png

Answer 1

\(x^2-y^2=(x+y)(x-y)\)
now put x=a+b
and y=a-b
u will get the factors.

Answer 2

I got (a+b)(a+b) - (a-b)(a+b)
is that the final answer?

Answer 3

nopes, and those are not in factored form,...did u get what i wrote? and tried?

Answer 4

Yes, now im more confused. :\

Answer 5

u get
(a+b+a-b)(a+b-a+b)
could u understand this?

Answer 6

if not just expand using (x+y)^2=x^2+2xy+y^2

Answer 7

so... 2a^2+2b^2 ?

Answer 8

nopes, let me do it for u
\((a+b)^2-(a-b)^2=a^2+2ab+b^2-a^2+2ab-b^2=4ab\)
ok? any doubts?

Answer 9

ohh okay, i gotmy postiive and negative signs backwards in the 2nd half after b^2 ..
thanks

Answer 10

welcome :)