Algebra Examples

$\frac{(x - 5) (x - 8)}{x + 1} \cdot \frac{x + 1}{(x + 5) (x - 8)}$

Step 1

Cancel the common factor of $x - 8$ .

Tap for more steps...

Step 1.1

Factor $x - 8$ out of $(x - 5) (x - 8)$ .

$\frac{(x - 8) (x - 5)}{x + 1} \cdot \frac{x + 1}{(x + 5) (x - 8)}$

Step 1.2

Factor $x - 8$ out of $(x + 5) (x - 8)$ .

$\frac{(x - 8) (x - 5)}{x + 1} \cdot \frac{x + 1}{(x - 8) (x + 5)}$

Step 1.3

Cancel the common factor.

$\frac{(x - 8) (x - 5)}{x + 1} \cdot \frac{x + 1}{(x - 8) (x + 5)}$

Step 1.4

Rewrite the expression.

$\frac{x - 5}{x + 1} \cdot \frac{x + 1}{x + 5}$

Step 2

Cancel the common factor of $x + 1$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$\frac{x - 5}{x + 1} \cdot \frac{x + 1}{x + 5}$

Step 2.2

Rewrite the expression.

$(x - 5) \cdot \frac{1}{x + 5}$

Step 3

Multiply $x - 5$ by $\frac{1}{x + 5}$ .

$\frac{x - 5}{x + 5}$