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Thread: Prove this solution??

  1. #1
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    Prove this solution??

    prove that x^3 = x for x=0,1,-1 but not by just putting in the values of x??
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  2. #2
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    $\displaystyle x^3 = x$

    $\displaystyle x^3 - x = 0$

    $\displaystyle x(x^2 - 1) = 0$

    $\displaystyle x(x - 1)(x + 1) = 0$

    $\displaystyle x = 0$ or $\displaystyle x-1=0$ or $\displaystyle x+1 = 0$

    $\displaystyle x = 0$ or $\displaystyle x=1$ or $\displaystyle x=-1$.
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