Question

Factor the following polynomial completely. -x^2y^2 + x4 + 4y^2 - 4x^2

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

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

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

Answer 1

-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) (