Algebra Examples

$144 x^{2} - 169 y^{2}$

Step 1

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

${(12 x)}^{2} - 169 y^{2}$

Step 2

Rewrite $169 y^{2}$ as ${(13 y)}^{2}$ .

${(12 x)}^{2} - {(13 y)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 12 x$ and $b = 13 y$ .

$(12 x + 13 y) (12 x - (13 y))$

Step 4

Multiply $13$ by $- 1$ .

$(12 x + 13 y) (12 x - 13 y)$