Factor x^6-36

$x^{6} - 36$

Step 1

Rewrite $x^{6}$ as ${(x^{3})}^{2}$ .

${(x^{3})}^{2} - 36$

Step 2

Rewrite $36$ as $6^{2}$ .

${(x^{3})}^{2} - 6^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x^{3}$ and $b = 6$ .

$(x^{3} + 6) (x^{3} - 6)$

Factor x^6-36

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