Basic Math Examples

$\frac{5 b - 35}{3 b^{2} - 12 b} \cdot \frac{1}{b - 7}$

Step 1

Factor $5$ out of $5 b - 35$ .

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Step 1.1

Factor $5$ out of $5 b$ .

$\frac{5 (b) - 35}{3 b^{2} - 12 b} \cdot \frac{1}{b - 7}$

Step 1.2

Factor $5$ out of $- 35$ .

$\frac{5 b + 5 \cdot - 7}{3 b^{2} - 12 b} \cdot \frac{1}{b - 7}$

Step 1.3

Factor $5$ out of $5 b + 5 \cdot - 7$ .

$\frac{5 (b - 7)}{3 b^{2} - 12 b} \cdot \frac{1}{b - 7}$

Step 2

Factor $3 b$ out of $3 b^{2} - 12 b$ .

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Step 2.1

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

$\frac{5 (b - 7)}{3 b (b) - 12 b} \cdot \frac{1}{b - 7}$

Step 2.2

Factor $3 b$ out of $- 12 b$ .

$\frac{5 (b - 7)}{3 b (b) + 3 b (- 4)} \cdot \frac{1}{b - 7}$

Step 2.3

Factor $3 b$ out of $3 b (b) + 3 b (- 4)$ .

$\frac{5 (b - 7)}{3 b (b - 4)} \cdot \frac{1}{b - 7}$

Step 3

Cancel the common factor of $b - 7$ .

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Step 3.1

Factor $b - 7$ out of $5 (b - 7)$ .

$\frac{(b - 7) \cdot 5}{3 b (b - 4)} \cdot \frac{1}{b - 7}$

Step 3.2

Cancel the common factor.

$\frac{(b - 7) \cdot 5}{3 b (b - 4)} \cdot \frac{1}{b - 7}$

Step 3.3

Rewrite the expression.

$\frac{5}{3 b (b - 4)}$