How do you factor x^4-1?

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Emy S. Share
May 2, 2015

Difference of two squares can be factored by the sum and difference of their square roots:
$\left({x}^{2} - 1\right) \left({x}^{2} + 1\right)$
Another diff. of 2 squares: $\left({x}^{2} - 1\right)$
$\left(x + 1\right) \left(x - 1\right) \left({x}^{2} + 1\right)$

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