Simplify (6b-3)/(3b^2-12)

$\frac{6 b - 3}{3 b^{2} - 12}$

Cancel the common factor of $6 b - 3$ and $3 b^{2} - 12$ .

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Factor $3$ out of $6 b$ .

$\frac{3 (2 b) - 3}{3 b^{2} - 12}$

Factor $3$ out of $- 3$ .

$\frac{3 (2 b) + 3 \cdot - 1}{3 b^{2} - 12}$

Factor $3$ out of $3 (2 b) + 3 (- 1)$ .

$\frac{3 (2 b - 1)}{3 b^{2} - 12}$

Cancel the common factors.

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

$\frac{3 (2 b - 1)}{3 (b^{2}) - 12}$

Factor $3$ out of $- 12$ .

$\frac{3 (2 b - 1)}{3 b^{2} + 3 \cdot - 4}$

Factor $3$ out of $3 b^{2} + 3 \cdot - 4$ .

$\frac{3 (2 b - 1)}{3 (b^{2} - 4)}$

Cancel the common factor.

$\frac{3 (2 b - 1)}{3 (b^{2} - 4)}$

Rewrite the expression.

$\frac{2 b - 1}{b^{2} - 4}$

Simplify the denominator.

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

$\frac{2 b - 1}{b^{2} - 2^{2}}$

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 $b = 2$ .

$\frac{2 b - 1}{(b + 2) (b - 2)}$

Simplify (6b-3)/(3b^2-12)

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