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# u^2 x^4-u^2 How do you Factor completely?

u^2 x^4-u^2 How do you Factor completely?

### 3 Answers

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- 1 decade agoFavorite Answer
u^2 x^4 - u^2

re-order (this isn't exactly necessary it just makes it easier)

-1u^2 + u^2 x^4

factor out the greatest common factor/ gcf (u^2)

u^2 (-1 + x^4)

factor within the parenthesis

u^2 (1 + x^2)(-1 + x^2)

the 1st set of parentesis can't be factored any more, but the second set can

u^2(1 + x)(1 + x)(-1 + x)

Final Answer:

u^2(1 + x)(1 + x)(-1 + x)

:)

Source(s): me! :) - Anonymous1 decade ago
u^2x ^4-u^2 = u^2(x^4-1) = u^2(x^2+1)(x^2-1) = u^2(x^2+1)(x+1)(x-1)

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