Factor 3b^2-48 - Math solver

$3 b^{2} - 48$

Factor $3$ out of $3 b^{2} - 48$ .

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Factor $3$ out of $3 b^{2}$ .

$3 (b^{2}) - 48$

Factor $3$ out of $- 48$ .

$3 b^{2} + 3 \cdot - 16$

Factor $3$ out of $3 b^{2} + 3 \cdot - 16$ .

$3 (b^{2} - 16)$

Rewrite $16$ as $4^{2}$ .

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

Factor.

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

$3 ((b + 4) (b - 4))$

Remove unnecessary parentheses.

$3 (b + 4) (b - 4)$

Factor 3b^2-48