Algebra Examples

$12 (\frac{14}{2}) - 3^{3} + 15 - 9^{2}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Factor $2$ out of $12$ .

$2 (6) \frac{14}{2} - 3^{3} + 15 - 9^{2}$

Step 1.1.2

Cancel the common factor.

$2 \cdot 6 \frac{14}{2} - 3^{3} + 15 - 9^{2}$

Step 1.1.3

Rewrite the expression.

$6 \cdot 14 - 3^{3} + 15 - 9^{2}$

$6 \cdot 14 - 3^{3} + 15 - 9^{2}$

Step 1.2

Multiply $6$ by $14$ .

$84 - 3^{3} + 15 - 9^{2}$

Step 1.3

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

$84 - 1 \cdot 27 + 15 - 9^{2}$

Step 1.4

Multiply $- 1$ by $27$ .

$84 - 27 + 15 - 9^{2}$

Step 1.5

Raise $9$ to the power of $2$ .

$84 - 27 + 15 - 1 \cdot 81$

Step 1.6

Multiply $- 1$ by $81$ .

$84 - 27 + 15 - 81$

$84 - 27 + 15 - 81$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $27$ from $84$ .

$57 + 15 - 81$

Step 2.2

Add $57$ and $15$ .

$72 - 81$

Step 2.3

Subtract $81$ from $72$ .

$- 9$

$- 9$

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