Factor 16r^2-9

$16 r^{2} - 9$

Step 1

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

${(4 r)}^{2} - 9$

Step 2

Rewrite $9$ as $3^{2}$ .

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

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 4 r$ and $b = 3$ .

$(4 r + 3) (4 r - 3)$