Factor r^6-729

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 the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Move to the left of .
Raise to the power of .
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.
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify.
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Reorder terms.
Multiply by .
Reorder terms.
Remove unnecessary parentheses.
Factor r^6-729

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