Algebra Examples

$3^{3} \cdot (12 - 2) \div 2$

Step 1

Rewrite the division as a fraction.

$\frac{3^{3} \cdot (12 - 2)}{2}$

Step 2

Cancel the common factor of $12 - 2$ and $2$ .

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Step 2.1

Factor $2$ out of $3^{3} \cdot (12 - 2)$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $2$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$\frac{3^{3} \cdot (6 - 1)}{1}$

Step 2.2.4

Divide $3^{3} \cdot (6 - 1)$ by $1$ .

$3^{3} \cdot (6 - 1)$

$3^{3} \cdot (6 - 1)$

$3^{3} \cdot (6 - 1)$

Step 3

Simplify the expression.

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Step 3.1

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

$27 \cdot (6 - 1)$

Step 3.2

Subtract $1$ from $6$ .

$27 \cdot 5$

Step 3.3

Multiply $27$ by $5$ .

$135$

$135$

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