Basic Math Examples

$(\frac{3 b^{2} + 18 b}{b + 6}) \cdot \frac{1}{b + 8}$

Step 1

Factor $3 b$ out of $3 b^{2} + 18 b$ .

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Step 1.1

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

$\frac{3 b (b) + 18 b}{b + 6} \cdot \frac{1}{b + 8}$

Step 1.2

Factor $3 b$ out of $18 b$ .

$\frac{3 b (b) + 3 b (6)}{b + 6} \cdot \frac{1}{b + 8}$

Step 1.3

Factor $3 b$ out of $3 b (b) + 3 b (6)$ .

$\frac{3 b (b + 6)}{b + 6} \cdot \frac{1}{b + 8}$

Step 2

Cancel the common factor of $b + 6$ .

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Step 2.1

Cancel the common factor.

$\frac{3 b (b + 6)}{b + 6} \cdot \frac{1}{b + 8}$

Step 2.2

Divide $3 b$ by $1$ .

$3 b \cdot \frac{1}{b + 8}$

Step 3

Multiply $3 b \frac{1}{b + 8}$ .

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Step 3.1

Combine $3$ and $\frac{1}{b + 8}$ .

$b \frac{3}{b + 8}$

Step 3.2

Combine $b$ and $\frac{3}{b + 8}$ .

$\frac{b \cdot 3}{b + 8}$

Step 4

Move $3$ to the left of $b$ .

$\frac{3 b}{b + 8}$