Question

Factor fully: (x^2-y-^2)^2 ... Perfect squares or difference of squares?? Where do I go from here?? :/

Answer 1

perfect square formula will not give you 'factors'
(a+b)^2 = a^2 +2ab +b^2
no factors

difference of squares will give you factors
(A^2-B^2) = (A+B)(A-B)
A+b and A-b are two factors :)

Answer 2

so first try to factor

x^2 - y^-2

using A^2-B^2
can you ?

Answer 3

x^2 - y^2 is same as (x-y)(x+y) so after this you can proceed

Answer 4

\[(x^2 -y^2)^2 = (x+y)^2(x-y)^2\]