Algebra Examples

$\frac{x - 2}{x - 3} \cdot \frac{2 x - 6}{x + 5}$

Step 1

Factor $2$ out of $2 x - 6$ .

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Step 1.1

Factor $2$ out of $2 x$ .

$\frac{x - 2}{x - 3} \cdot \frac{2 (x) - 6}{x + 5}$

Step 1.2

Factor $2$ out of $- 6$ .

$\frac{x - 2}{x - 3} \cdot \frac{2 x + 2 \cdot - 3}{x + 5}$

Step 1.3

Factor $2$ out of $2 x + 2 \cdot - 3$ .

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

Step 2

Cancel the common factor of $x - 3$ .

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Step 2.1

Factor $x - 3$ out of $2 (x - 3)$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$(x - 2) \cdot \frac{2}{x + 5}$

Step 3

Multiply $x - 2$ by $\frac{2}{x + 5}$ .

$\frac{(x - 2) \cdot 2}{x + 5}$

Step 4

Move $2$ to the left of $x - 2$ .

$\frac{2 (x - 2)}{x + 5}$