Factor 45x^2-80y^2 - Math solver

$45 x^{2} - 80 y^{2}$

Factor $5$ out of $45 x^{2} - 80 y^{2}$ .

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Factor $5$ out of $45 x^{2}$ .

$5 (9 x^{2}) - 80 y^{2}$

Factor $5$ out of $- 80 y^{2}$ .

$5 (9 x^{2}) + 5 (- 16 y^{2})$

Factor $5$ out of $5 (9 x^{2}) + 5 (- 16 y^{2})$ .

$5 (9 x^{2} - 16 y^{2})$

Rewrite $9 x^{2}$ as ${(3 x)}^{2}$ .

$5 ({(3 x)}^{2} - 16 y^{2})$

Rewrite $16 y^{2}$ as ${(4 y)}^{2}$ .

$5 ({(3 x)}^{2} - {(4 y)}^{2})$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 3 x$ and $b = 4 y$ .

$5 ((3 x + 4 y) (3 x - (4 y)))$

Factor.

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Multiply $4$ by $- 1$ .

$5 ((3 x + 4 y) (3 x - 4 y))$

Remove unnecessary parentheses.

$5 (3 x + 4 y) (3 x - 4 y)$

Factor 45x^2-80y^2

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