Factor 49-36z^2 - Math solver

$49 - 36 z^{2}$

Rewrite $49$ as $7^{2}$ .

$7^{2} - 36 z^{2}$

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

$7^{2} - {(6 z)}^{2}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 7$ and $b = 6 z$ .

$(7 + 6 z) (7 - (6 z))$

Multiply $6$ by $- 1$ .

$(7 + 6 z) (7 - 6 z)$

Factor 49-36z^2

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