Factor 25x^2-144y^2

$25 x^{2} - 144 y^{2}$

Step 1

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

${(5 x)}^{2} - 144 y^{2}$

Step 2

Rewrite $144 y^{2}$ as ${(12 y)}^{2}$ .

${(5 x)}^{2} - {(12 y)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5 x$ and $b = 12 y$ .

$(5 x + 12 y) (5 x - (12 y))$

Step 4

Multiply $12$ by $- 1$ .

$(5 x + 12 y) (5 x - 12 y)$

Factor 25x^2-144y^2

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