Factor the following polynomial complete -x^2y^2+x^4+4y^2-4x^2

Step-by-step explanation:

First, see if you can group the terms. I will first put this in LaTeX to make it easier to understand. We have , and we can factor a out of the first group, and a out of the other group, to get Let's multiply everything by -1 now to ge t Multiplying all this does not change it, because -1^2=1.

Because a^2-b^2=(a+b)(a-b), we get out final answer as .

-x^2y^2 + x4 + 4y^2 - 4x^2

= x^2(x^2 - y^2) -4(x^2 - y^2)

= (x^2 - y^2) (x^2 - 4)

=(x + y)(x -y)(x + 2)(x - 2)

answer

3.) (x + 2)(x - 2)(x + y)(x - y)

= (y^2 - x^2) (