Precalculus Examples

$\frac{3}{4} \cdot (12 x - 6)$

Step 1

Apply the distributive property.

$\frac{3}{4} (12 x) + \frac{3}{4} \cdot - 6$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $12 x$ .

$\frac{3}{4} (4 (3 x)) + \frac{3}{4} \cdot - 6$

Step 2.2

Cancel the common factor.

$\frac{3}{4} (4 (3 x)) + \frac{3}{4} \cdot - 6$

Step 2.3

Rewrite the expression.

$3 (3 x) + \frac{3}{4} \cdot - 6$

$3 (3 x) + \frac{3}{4} \cdot - 6$

Step 3

Multiply $3$ by $3$ .

$9 x + \frac{3}{4} \cdot - 6$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $4$ .

$9 x + \frac{3}{2 (2)} \cdot - 6$

Step 4.2

Factor $2$ out of $- 6$ .

$9 x + \frac{3}{2 \cdot 2} \cdot (2 \cdot - 3)$

Step 4.3

Cancel the common factor.

$9 x + \frac{3}{2 \cdot 2} \cdot (2 \cdot - 3)$

Step 4.4

Rewrite the expression.

$9 x + \frac{3}{2} \cdot - 3$

$9 x + \frac{3}{2} \cdot - 3$

Step 5

Combine $\frac{3}{2}$ and $- 3$ .

$9 x + \frac{3 \cdot - 3}{2}$

Step 6

Simplify the expression.

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Step 6.1

Multiply $3$ by $- 3$ .

$9 x + \frac{- 9}{2}$

Step 6.2

Move the negative in front of the fraction.

$9 x - \frac{9}{2}$

$9 x - \frac{9}{2}$

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