Algebra Examples

$\frac{8 {(x + 3)}^{2}}{2 (x + 3)}$

Step 1

Cancel the common factor of $8$ and $2$ .

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Step 1.1

Factor $2$ out of $8 {(x + 3)}^{2}$ .

$\frac{2 (4 {(x + 3)}^{2})}{2 (x + 3)}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Cancel the common factor.

$\frac{2 (4 {(x + 3)}^{2})}{2 (x + 3)}$

Step 1.2.2

Rewrite the expression.

$\frac{4 {(x + 3)}^{2}}{x + 3}$

$\frac{4 {(x + 3)}^{2}}{x + 3}$

$\frac{4 {(x + 3)}^{2}}{x + 3}$

Step 2

Cancel the common factor of ${(x + 3)}^{2}$ and $x + 3$ .

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Step 2.1

Factor $x + 3$ out of $4 {(x + 3)}^{2}$ .

$\frac{(x + 3) (4 (x + 3))}{x + 3}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{(x + 3) (4 (x + 3))}{(x + 3) \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{(x + 3) (4 (x + 3))}{(x + 3) \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{4 (x + 3)}{1}$

Step 2.2.4

Divide $4 (x + 3)$ by $1$ .

$4 (x + 3)$

$4 (x + 3)$

$4 (x + 3)$

Step 3

Apply the distributive property.

$4 x + 4 \cdot 3$

Step 4

Multiply $4$ by $3$ .

$4 x + 12$

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