Finite Math Examples

$p (3) = 3^{2} + 6$

Step 1

Divide each term in $p (3) = 3^{2} + 6$ by $3$ .

$\frac{p \cdot 3}{3} = \frac{3^{2}}{3} + \frac{6}{3}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $3$ .

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Step 2.1.1

Cancel the common factor.

$\frac{p \cdot 3}{3} = \frac{3^{2}}{3} + \frac{6}{3}$

Step 2.1.2

Divide $p$ by $1$ .

$p = \frac{3^{2}}{3} + \frac{6}{3}$

Step 3

Simplify the right side.

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Step 3.1

Combine the numerators over the common denominator.

$p = \frac{3^{2} + 6}{3}$

Step 3.2

Simplify the expression.

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Step 3.2.1

Raise $3$ to the power of $2$ .

$p = \frac{9 + 6}{3}$

Step 3.2.2

Add $9$ and $6$ .

$p = \frac{15}{3}$

Step 3.2.3

Divide $15$ by $3$ .

$p = 5$