Algebra Examples

$\frac{4 x}{x + 1} \cdot \frac{3 x + 3}{2}$

Step 1

Factor $3$ out of $3 x + 3$ .

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Step 1.1

Factor $3$ out of $3 x$ .

$\frac{4 x}{x + 1} \cdot \frac{3 (x) + 3}{2}$

Step 1.2

Factor $3$ out of $3$ .

$\frac{4 x}{x + 1} \cdot \frac{3 (x) + 3 (1)}{2}$

Step 1.3

Factor $3$ out of $3 (x) + 3 (1)$ .

$\frac{4 x}{x + 1} \cdot \frac{3 (x + 1)}{2}$

$\frac{4 x}{x + 1} \cdot \frac{3 (x + 1)}{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4 x$ .

$\frac{2 (2 x)}{x + 1} \cdot \frac{3 (x + 1)}{2}$

Step 2.2

Cancel the common factor.

$\frac{2 (2 x)}{x + 1} \cdot \frac{3 (x + 1)}{2}$

Step 2.3

Rewrite the expression.

$\frac{2 x}{x + 1} \cdot (3 (x + 1))$

$\frac{2 x}{x + 1} \cdot (3 (x + 1))$

Step 3

Cancel the common factor of $x + 1$ .

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Step 3.1

Factor $x + 1$ out of $3 (x + 1)$ .

$\frac{2 x}{x + 1} \cdot ((x + 1) \cdot 3)$

Step 3.2

Cancel the common factor.

$\frac{2 x}{x + 1} \cdot ((x + 1) \cdot 3)$

Step 3.3

Rewrite the expression.

$2 x \cdot 3$

$2 x \cdot 3$

Step 4

Multiply $3$ by $2$ .

$6 x$

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