Algebra Examples

$\frac{4 a + 4}{2 a} \cdot \frac{a^{2}}{a + 1}$

Step 1

Factor $4$ out of $4 a + 4$ .

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Step 1.1

Factor $4$ out of $4 a$ .

$\frac{4 (a) + 4}{2 a} \cdot \frac{a^{2}}{a + 1}$

Step 1.2

Factor $4$ out of $4$ .

$\frac{4 (a) + 4 (1)}{2 a} \cdot \frac{a^{2}}{a + 1}$

Step 1.3

Factor $4$ out of $4 (a) + 4 (1)$ .

$\frac{4 (a + 1)}{2 a} \cdot \frac{a^{2}}{a + 1}$

Step 2

Cancel the common factor of $a + 1$ .

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Step 2.1

Factor $a + 1$ out of $4 (a + 1)$ .

$\frac{(a + 1) \cdot 4}{2 a} \cdot \frac{a^{2}}{a + 1}$

Step 2.2

Cancel the common factor.

$\frac{(a + 1) \cdot 4}{2 a} \cdot \frac{a^{2}}{a + 1}$

Step 2.3

Rewrite the expression.

$\frac{4}{2 a} \cdot a^{2}$

Step 3

Cancel the common factor of $a$ .

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Step 3.1

Factor $a$ out of $2 a$ .

$\frac{4}{a \cdot 2} \cdot a^{2}$

Step 3.2

Factor $a$ out of $a^{2}$ .

$\frac{4}{a \cdot 2} \cdot (a \cdot a)$

Step 3.3

Cancel the common factor.

$\frac{4}{a \cdot 2} \cdot (a \cdot a)$

Step 3.4

Rewrite the expression.

$\frac{4}{2} \cdot a$

Step 4

Combine $\frac{4}{2}$ and $a$ .

$\frac{4 a}{2}$

Step 5

Cancel the common factor of $4$ and $2$ .

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Step 5.1

Factor $2$ out of $4 a$ .

$\frac{2 (2 a)}{2}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $2$ .

$\frac{2 (2 a)}{2 (1)}$

Step 5.2.2

Cancel the common factor.

$\frac{2 (2 a)}{2 \cdot 1}$

Step 5.2.3

Rewrite the expression.

$\frac{2 a}{1}$

Step 5.2.4

Divide $2 a$ by $1$ .

$2 a$