Factor x^2-196y^2

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

Step 1

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

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

Step 2

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

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

Step 3

Multiply $14$ by $- 1$ .

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

Factor x^2-196y^2

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