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

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

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Asked 1/22/2016 3:45:06 PM

Updated 1/24/2016 1:15:52 AM

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Edited by Andrew. [1/24/2016 1:15:52 AM]

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

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

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

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

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

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

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

Added 1/23/2016 10:30:05 PM

This answer has been confirmed as correct and helpful.

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