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

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

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  • 1 decade ago
    Favorite 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! :)
  • 1 decade ago

    u^2(x^4-1) = u^2(x^2+1)(x-1)(x+1)

  • Anonymous
    1 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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