Factor 100x^2-49y^2 - MathMaster

$100 x^{2} - 49 y^{2}$

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

${(10 x)}^{2} - 49 y^{2}$

Rewrite $49 y^{2}$ as ${(7 y)}^{2}$ .

${(10 x)}^{2} - {(7 y)}^{2}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 10 x$ and $b = 7 y$ .

$(10 x + 7 y) (10 x - (7 y))$

Multiply $7$ by $- 1$ .

$(10 x + 7 y) (10 x - 7 y)$

Factor 100x^2-49y^2

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