Factor 16-25x^2

$16 - 25 x^{2}$

Step 1

Rewrite $16$ as $4^{2}$ .

$4^{2} - 25 x^{2}$

Step 2

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

$4^{2} - {(5 x)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 4$ and $b = 5 x$ .

$(4 + 5 x) (4 - (5 x))$

Step 4

Multiply $5$ by $- 1$ .

$(4 + 5 x) (4 - 5 x)$