Factor x^2-25y^2

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

Step 1

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

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

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 $b = 5 y$ .

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

Step 3

Multiply $5$ by $- 1$ .

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