Algebra Examples

$\frac{x - 8}{(x + 6) (x - 8)} \cdot \frac{4 x (x + 10)}{x + 10}$

Step 1

Cancel the common factor of $x - 8$ .

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Step 1.1

Cancel the common factor.

$\frac{x - 8}{(x + 6) (x - 8)} \cdot \frac{4 x (x + 10)}{x + 10}$

Step 1.2

Rewrite the expression.

$\frac{1}{x + 6} \cdot \frac{4 x (x + 10)}{x + 10}$

Step 2

Cancel the common factor of $x + 10$ .

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Step 2.1

Cancel the common factor.

$\frac{1}{x + 6} \cdot \frac{4 x (x + 10)}{x + 10}$

Step 2.2

Divide $4 x$ by $1$ .

$\frac{1}{x + 6} \cdot (4 x)$

Step 3

Rewrite using the commutative property of multiplication.

$4 \frac{1}{x + 6} x$

Step 4

Combine $4$ and $\frac{1}{x + 6}$ .

$\frac{4}{x + 6} x$

Step 5

Combine $\frac{4}{x + 6}$ and $x$ .

$\frac{4 x}{x + 6}$