Factor 36r^2-25

$36 r^{2} - 25$

Step 1

Rewrite $36 r^{2}$ as ${(6 r)}^{2}$ .

${(6 r)}^{2} - 25$

Step 2

Rewrite $25$ as $5^{2}$ .

${(6 r)}^{2} - 5^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 6 r$ and $b = 5$ .

$(6 r + 5) (6 r - 5)$