Factor x^10-y^2

$x^{10} - y^{2}$

Step 1

Rewrite $x^{10}$ as ${(x^{5})}^{2}$ .

${(x^{5})}^{2} - y^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x^{5}$ and $b = y$ .

$(x^{5} + y) (x^{5} - y)$

Factor x^10-y^2

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