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Precalculus Examples

\frac{6 x^{2} + 3 x}{x}

$\frac{6 x^{2} + 3 x}{x}$

Step 1

Factor

3 x

$3 x$ out of

6 x^{2} + 3 x

$6 x^{2} + 3 x$ .

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Step 1.1

Factor

3 x

$3 x$ out of

6 x^{2}

$6 x^{2}$ .

\frac{3 x (2 x) + 3 x}{x}

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

Step 1.2

Factor

3 x

$3 x$ out of

3 x

$3 x$ .

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

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

Step 1.3

Factor

3 x

$3 x$ out of

3 x (2 x) + 3 x (1)

$3 x (2 x) + 3 x (1)$ .

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

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

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

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

Step 2

Cancel the common factor of

x

$x$ .

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Step 2.1

Cancel the common factor.

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

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

Step 2.2

Divide

3 (2 x + 1)

$3 (2 x + 1)$ by

1

$1$ .

3 (2 x + 1)

$3 (2 x + 1)$

3 (2 x + 1)

$3 (2 x + 1)$

Step 3

Apply the distributive property.

3 (2 x) + 3 \cdot 1

$3 (2 x) + 3 \cdot 1$

Step 4

Multiply

2

$2$ by

3

$3$ .

6 x + 3 \cdot 1

$6 x + 3 \cdot 1$

Step 5

Multiply

3

$3$ by

1

$1$ .

6 x + 3

$6 x + 3$

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

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