Factor 2x^2-50 - Math online

$2 x^{2} - 50$

Factor $2$ out of $2 x^{2} - 50$ .

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Factor $2$ out of $2 x^{2}$ .

$2 (x^{2}) - 50$

Factor $2$ out of $- 50$ .

$2 x^{2} + 2 \cdot - 25$

Factor $2$ out of $2 x^{2} + 2 \cdot - 25$ .

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

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

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

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 $a = x$ and $b = 5$ .

$2 ((x + 5) (x - 5))$

Remove unnecessary parentheses.

$2 (x + 5) (x - 5)$

Factor 2x^2-50

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