Algebra Examples

$3 (\frac{2}{3} p + 3 - \frac{1}{3} p - 5)$

Step 1

Simplify each term.

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Step 1.1

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

$3 (\frac{2 p}{3} + 3 - \frac{1}{3} p - 5)$

Step 1.2

Combine $p$ and $\frac{1}{3}$ .

$3 (\frac{2 p}{3} + 3 - \frac{p}{3} - 5)$

$3 (\frac{2 p}{3} + 3 - \frac{p}{3} - 5)$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$3 (3 - 5 + \frac{2 p - p}{3})$

Step 2.2

Subtract $p$ from $2 p$ .

$3 (3 - 5 + \frac{p}{3})$

Step 2.3

Subtract $5$ from $3$ .

$3 (- 2 + \frac{p}{3})$

Step 2.4

Apply the distributive property.

$3 \cdot - 2 + 3 \frac{p}{3}$

Step 2.5

Multiply $3$ by $- 2$ .

$- 6 + 3 \frac{p}{3}$

Step 2.6

Cancel the common factor of $3$ .

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Step 2.6.1

Cancel the common factor.

$- 6 + 3 \frac{p}{3}$

Step 2.6.2

Rewrite the expression.

$- 6 + p$

$- 6 + p$

$- 6 + p$

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