Algebra Examples

$4 (3 + \frac{1}{4} c - \frac{1}{2} d)$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{1}{4}$ and $c$ .

$4 (3 + \frac{c}{4} - \frac{1}{2} d)$

Step 1.2

Combine $d$ and $\frac{1}{2}$ .

$4 (3 + \frac{c}{4} - \frac{d}{2})$

$4 (3 + \frac{c}{4} - \frac{d}{2})$

Step 2

Apply the distributive property.

$4 \cdot 3 + 4 \frac{c}{4} + 4 (- \frac{d}{2})$

Step 3

Simplify.

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Step 3.1

Multiply $4$ by $3$ .

$12 + 4 \frac{c}{4} + 4 (- \frac{d}{2})$

Step 3.2

Cancel the common factor of $4$ .

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Step 3.2.1

Cancel the common factor.

$12 + 4 \frac{c}{4} + 4 (- \frac{d}{2})$

Step 3.2.2

Rewrite the expression.

$12 + c + 4 (- \frac{d}{2})$

$12 + c + 4 (- \frac{d}{2})$

Step 3.3

Cancel the common factor of $2$ .

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Step 3.3.1

Move the leading negative in $- \frac{d}{2}$ into the numerator.

$12 + c + 4 \frac{- d}{2}$

Step 3.3.2

Factor $2$ out of $4$ .

$12 + c + 2 (2) \frac{- d}{2}$

Step 3.3.3

Cancel the common factor.

$12 + c + 2 \cdot 2 \frac{- d}{2}$

Step 3.3.4

Rewrite the expression.

$12 + c + 2 (- d)$

$12 + c + 2 (- d)$

Step 3.4

Multiply $- 1$ by $2$ .

$12 + c - 2 d$

$12 + c - 2 d$

Step 4

Move $12$ .

$c - 2 d + 12$

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