Algebra Examples

$f (3) = \frac{1}{3} {(3 + 3)}^{2} - 9$

Step 1

Simplify each term.

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Step 1.1

Add $3$ and $3$ .

$f (3) = \frac{1}{3} \cdot 6^{2} - 9$

Step 1.2

Raise $6$ to the power of $2$ .

$f (3) = \frac{1}{3} \cdot 36 - 9$

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Factor $3$ out of $36$ .

$f (3) = \frac{1}{3} \cdot (3 (12)) - 9$

Step 1.3.2

Cancel the common factor.

$f (3) = \frac{1}{3} \cdot (3 \cdot 12) - 9$

Step 1.3.3

Rewrite the expression.

$f (3) = 12 - 9$

$f (3) = 12 - 9$

$f (3) = 12 - 9$

Step 2

Subtract $9$ from $12$ .

$f (3) = 3$

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