Factor x^6-1

Math
Rewrite as .
Rewrite as .
Since both terms are perfect cubes, factor using the difference of cubes formula, where and .
Simplify.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Multiply by .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
One to any power is one.
Factor.
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Rewrite in a factored form.
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Rewrite the middle term.
Rearrange terms.
Factor first three terms by perfect square rule.
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify.
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Reorder terms.
Reorder terms.
Remove unnecessary parentheses.
Factor x^6-1

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