Factor 36x^2-121

$36 x^{2} - 121$

Step 1

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

${(6 x)}^{2} - 121$

Step 2

Rewrite $121$ as $11^{2}$ .

${(6 x)}^{2} - 11^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 6 x$ and $b = 11$ .

$(6 x + 11) (6 x - 11)$

Factor 36x^2-121

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