Question

Factor the following polynomial completely.

-x2y2 + x4 + 9y2 - 9x2



(x- 3)(x- 3)(x+y)(x-y)
(x+ 3)(x+ 3)(x+y)(x-y)
(x+ 3)(x- 3)(x+y)(x-y)

I don't understand this and the last 3 r the choices that I have

Answer 1

@Myammecutie will u help me please

Answer 2

help me please @robtobey

Answer 3

\[(x-3) (x+3) (x-y) (x+y) \]

Answer 4

Rearrange the polynomial:
x^4 - x^2y^2 - 9x^2 + 9y^2
Now factor out x^2 from first two terms and -9 from last two terms:
x^2(x^2 - y^2) - 9(x^2 - y^2)
Factor out common factor x^2 - y^2
(x^2 - 9)(x^2 - y^2)
Factor both differences of squares above:
(x + 3)(x - 3)(x + y)(x - y)