Algebra Examples

$\frac{(x + 2) (x - 3)}{(x + 1) (x - 4)} \cdot \frac{(x + 1)}{x (x + 2)}$

Step 1

Cancel the common factor of $x + 2$ .

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Step 1.1

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

$\frac{(x + 2) (x - 3)}{(x + 1) (x - 4)} \cdot \frac{x + 1}{(x + 2) x}$

Step 1.2

Cancel the common factor.

$\frac{(x + 2) (x - 3)}{(x + 1) (x - 4)} \cdot \frac{x + 1}{(x + 2) x}$

Step 1.3

Rewrite the expression.

$\frac{x - 3}{(x + 1) (x - 4)} \cdot \frac{x + 1}{x}$

Step 2

Cancel the common factor of $x + 1$ .

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Step 2.1

Cancel the common factor.

$\frac{x - 3}{(x + 1) (x - 4)} \cdot \frac{x + 1}{x}$

Step 2.2

Rewrite the expression.

$\frac{x - 3}{x - 4} \cdot \frac{1}{x}$

Step 3

Multiply $\frac{x - 3}{x - 4}$ by $\frac{1}{x}$ .

$\frac{x - 3}{(x - 4) x}$

Step 4

Reorder factors in $\frac{x - 3}{(x - 4) x}$ .

$\frac{x - 3}{x (x - 4)}$