Factor 25x^2-64y^2 - MathMaster

$25 x^{2} - 64 y^{2}$

Rewrite $25 x^{2}$ as ${(5 x)}^{2}$ .

${(5 x)}^{2} - 64 y^{2}$

Rewrite $64 y^{2}$ as ${(8 y)}^{2}$ .

${(5 x)}^{2} - {(8 y)}^{2}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5 x$ and $b = 8 y$ .

$(5 x + 8 y) (5 x - (8 y))$

Multiply $8$ by $- 1$ .

$(5 x + 8 y) (5 x - 8 y)$

Factor 25x^2-64y^2

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