Factor the following polynomial completely.
-x 2 y 2 + x 4 + 4y 2 - 4x 2
2 answers:
Answer:
Step-by-step explanation:
Lets rearrange the terms
Then we group first two terms and last two terms
Factor out each group
Apply formula
<span>-x^2 y^2 + x^4 + 4y^2 - 4x^2 = </span>x^4 -x^2 y^2 - 4x^2 + 4y^2<span> = 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) (....using a^2 - b^2 = (a+b)(a-b) ) hope it helps</span>
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