Algebra Examples

$\frac{5 r + 50}{r + 10} \cdot \frac{r - 2}{5}$

Step 1

Factor $5$ out of $5 r + 50$ .

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Step 1.1

Factor $5$ out of $5 r$ .

$\frac{5 (r) + 50}{r + 10} \cdot \frac{r - 2}{5}$

Step 1.2

Factor $5$ out of $50$ .

$\frac{5 r + 5 \cdot 10}{r + 10} \cdot \frac{r - 2}{5}$

Step 1.3

Factor $5$ out of $5 r + 5 \cdot 10$ .

$\frac{5 (r + 10)}{r + 10} \cdot \frac{r - 2}{5}$

$\frac{5 (r + 10)}{r + 10} \cdot \frac{r - 2}{5}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Cancel the common factor.

$\frac{5 (r + 10)}{r + 10} \cdot \frac{r - 2}{5}$

Step 2.2

Rewrite the expression.

$\frac{r + 10}{r + 10} \cdot (r - 2)$

$\frac{r + 10}{r + 10} \cdot (r - 2)$

Step 3

Cancel the common factor of $r + 10$ .

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Step 3.1

Cancel the common factor.

$\frac{r + 10}{r + 10} \cdot (r - 2)$

Step 3.2

Rewrite the expression.

$1 \cdot (r - 2)$

$1 \cdot (r - 2)$

Step 4

Multiply $r - 2$ by $1$ .

$r - 2$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$