Basic Math Examples

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

Step 1

Factor $b$ out of $b^{2} - 5 b$ .

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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

$\frac{b (b - 5)}{b^{2} + 3 b} \cdot \frac{b + 3}{b - 5}$

Step 2

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

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Step 2.1

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

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

Step 2.2

Factor $b$ out of $3 b$ .

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

Step 2.3

Factor $b$ out of $b \cdot b + b \cdot 3$ .

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

Step 3

Cancel the common factor of $b - 5$ .

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Step 3.1

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

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{b}{b (b + 3)} \cdot (b + 3)$

Step 4

Cancel the common factor of $b + 3$ .

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Step 4.1

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

$\frac{b}{(b + 3) b} \cdot (b + 3)$

Step 4.2

Cancel the common factor.

$\frac{b}{(b + 3) b} \cdot (b + 3)$

Step 4.3

Rewrite the expression.

$\frac{b}{b}$

Step 5

Cancel the common factor of $b$ .

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Step 5.1

Cancel the common factor.

$\frac{b}{b}$

Step 5.2

Rewrite the expression.

$1$