Factor 625-x^4 - Math solver

$625 - x^{4}$

Rewrite $625$ as $25^{2}$ .

$25^{2} - x^{4}$

Rewrite $x^{4}$ as ${(x^{2})}^{2}$ .

$25^{2} - {(x^{2})}^{2}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 25$ and $b = x^{2}$ .

$(25 + x^{2}) (25 - x^{2})$

Simplify.

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Rewrite $25$ as $5^{2}$ .

$(25 + x^{2}) (5^{2} - x^{2})$

Factor.

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

$(25 + x^{2}) ((5 + x) (5 - x))$

Remove unnecessary parentheses.

$(25 + x^{2}) (5 + x) (5 - x)$

Factor 625-x^4

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