Algebra Examples

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

Step 1

Cancel the common factor of $x + 2$ .

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Step 1.1

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

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

Step 1.2

Cancel the common factor.

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

Step 1.3

Rewrite the expression.

$\frac{1}{x - 3} \cdot \frac{x - 3}{x - 2}$

Step 2

Cancel the common factor of $x - 3$ .

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Step 2.1

Cancel the common factor.

$\frac{1}{x - 3} \cdot \frac{x - 3}{x - 2}$

Step 2.2

Rewrite the expression.

$\frac{1}{x - 2}$