Algebra Examples

$\frac{5 a}{5 a + 5} \cdot (10 a + 10)$

Step 1

Factor $5$ out of $5 a + 5$ .

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Step 1.1

Factor $5$ out of $5 a$ .

$\frac{5 a}{5 (a) + 5} \cdot (10 a + 10)$

Step 1.2

Factor $5$ out of $5$ .

$\frac{5 a}{5 (a) + 5 (1)} \cdot (10 a + 10)$

Step 1.3

Factor $5$ out of $5 (a) + 5 (1)$ .

$\frac{5 a}{5 (a + 1)} \cdot (10 a + 10)$

$\frac{5 a}{5 (a + 1)} \cdot (10 a + 10)$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Cancel the common factor.

$\frac{5 a}{5 (a + 1)} \cdot (10 a + 10)$

Step 2.2

Rewrite the expression.

$\frac{a}{a + 1} \cdot (10 a + 10)$

$\frac{a}{a + 1} \cdot (10 a + 10)$

Step 3

Multiply $\frac{a}{a + 1}$ by $10 a + 10$ .

$\frac{a (10 a + 10)}{a + 1}$

Step 4

Factor $10$ out of $10 a + 10$ .

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Step 4.1

Factor $10$ out of $10 a$ .

$\frac{a (10 (a) + 10)}{a + 1}$

Step 4.2

Factor $10$ out of $10$ .

$\frac{a (10 (a) + 10 (1))}{a + 1}$

Step 4.3

Factor $10$ out of $10 (a) + 10 (1)$ .

$\frac{a (10 (a + 1))}{a + 1}$

$\frac{a \cdot 10 (a + 1)}{a + 1}$

Step 5

Cancel the common factor of $a + 1$ .

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Step 5.1

Cancel the common factor.

$\frac{a \cdot 10 (a + 1)}{a + 1}$

Step 5.2

Divide $a \cdot 10$ by $1$ .

$a \cdot 10$

$a \cdot 10$

Step 6

Move $10$ to the left of $a$ .

$10 a$

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