Factor x^6-4

$x^{6} - 4$

Step 1

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

${(x^{3})}^{2} - 4$

Step 2

Rewrite $4$ as $2^{2}$ .

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

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 $b = 2$ .

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

Factor x^6-4

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