Algebra Examples

$f (x) = \frac{1}{3} {(6)}^{3}$

Step 1

Simplify $\frac{1}{3} \cdot 6^{3}$ .

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Step 1.1

Rewrite.

$f (x) = 0 + 0 + \frac{1}{3} \cdot 6^{3}$

Step 1.2

Raise $6$ to the power of $3$ .

$f (x) = \frac{1}{3} \cdot 216$

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Factor $3$ out of $216$ .

$f (x) = \frac{1}{3} \cdot (3 (72))$

Step 1.3.2

Cancel the common factor.

$f (x) = \frac{1}{3} \cdot (3 \cdot 72)$

Step 1.3.3

Rewrite the expression.

$f (x) = 72$

$f (x) = 72$

$f (x) = 72$

Step 2

Subtract $f (x)$ from both sides of the equation.

$0 = 72 - f (x)$

Step 3

Rewrite the equation as $72 - f (x) = 0$ .

$72 - f (x) = 0$

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