Algebra Examples

$49 x^{2} - 16 y^{2}$

Step 1

Rewrite $49 x^{2}$ as ${(7 x)}^{2}$ .

${(7 x)}^{2} - 16 y^{2}$

Step 2

Rewrite $16 y^{2}$ as ${(4 y)}^{2}$ .

${(7 x)}^{2} - {(4 y)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 7 x$ and $b = 4 y$ .

$(7 x + 4 y) (7 x - (4 y))$

Step 4

Multiply $4$ by $- 1$ .

$(7 x + 4 y) (7 x - 4 y)$