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Math Help - higher power equation!

  1. #1
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    higher power equation!

    pls somebody have to help me on the best way to simplify equations like these;

     x^3-1 ,  x^4-1

    thanks
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  2. #2
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    Re: higher power equation!

    They are expressions not equations.
    x^3-1 = (x-1)(x^2+x+1)

    x^4-1 = (x^2-1)(x^2+1) = (x-1)(x+1)(x^2+1)
    Thanks from lawochekel
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  3. #3
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    Re: higher power equation!

    Quote Originally Posted by lawochekel View Post
    pls somebody have to help me on the best way to simplify equations like these;

     x^3-1 ,  x^4-1

    thanks
    x^n-1 =\begin{cases}\left(x^{n/2}-1\right)\left(x^{n/2}+1\right), & \text{if }n\text{ is even} \\(x-1)\cdot \displaystyle \sum_{i=0}^{n-1} x^i, & \text{if }n\text{ is odd}\end{cases}
    Thanks from lawochekel
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