Factor 196x^2-225y^2

$196 x^{2} - 225 y^{2}$

Rewrite $196 x^{2}$ as ${(14 x)}^{2}$ .

${(14 x)}^{2} - 225 y^{2}$

Rewrite $225 y^{2}$ as ${(15 y)}^{2}$ .

${(14 x)}^{2} - {(15 y)}^{2}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 14 x$ and $b = 15 y$ .

$(14 x + 15 y) (14 x - (15 y))$

Multiply $15$ by $- 1$ .

$(14 x + 15 y) (14 x - 15 y)$

Factor 196x^2-225y^2

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