Factor 81x^2-100y^2 - MathMaster

$81 x^{2} - 100 y^{2}$

Rewrite $81 x^{2}$ as ${(9 x)}^{2}$ .

${(9 x)}^{2} - 100 y^{2}$

Rewrite $100 y^{2}$ as ${(10 y)}^{2}$ .

${(9 x)}^{2} - {(10 y)}^{2}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 9 x$ and $b = 10 y$ .

$(9 x + 10 y) (9 x - (10 y))$

Multiply $10$ by $- 1$ .

$(9 x + 10 y) (9 x - 10 y)$

Factor 81x^2-100y^2

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