Factor 9b^2-4

$9 b^{2} - 4$

Step 1

Rewrite $9 b^{2}$ as ${(3 b)}^{2}$ .

${(3 b)}^{2} - 4$

Step 2

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

${(3 b)}^{2} - 2^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 3 b$ and $b = 2$ .

$(3 b + 2) (3 b - 2)$