Algebra Examples

$7 + 3^{2} (- 5 + 1) \div 2$

Step 1

Add $- 5$ and $1$ .

$7 + 3^{2} \cdot - 4 \div 2$

Step 2

Simplify each term.

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Step 2.1

Rewrite the division as a fraction.

$7 + \frac{3^{2} \cdot - 4}{2}$

Step 2.2

Cancel the common factor of $- 4$ and $2$ .

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Step 2.2.1

Factor $2$ out of $3^{2} \cdot - 4$ .

$7 + \frac{2 (3^{2} \cdot - 2)}{2}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $2$ out of $2$ .

$7 + \frac{2 (3^{2} \cdot - 2)}{2 (1)}$

Step 2.2.2.2

Cancel the common factor.

$7 + \frac{2 (3^{2} \cdot - 2)}{2 \cdot 1}$

Step 2.2.2.3

Rewrite the expression.

$7 + \frac{3^{2} \cdot - 2}{1}$

Step 2.2.2.4

Divide $3^{2} \cdot - 2$ by $1$ .

$7 + 3^{2} \cdot - 2$

$7 + 3^{2} \cdot - 2$

$7 + 3^{2} \cdot - 2$

Step 2.3

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

$7 + 9 \cdot - 2$

Step 2.4

Multiply $9$ by $- 2$ .

$7 - 18$

$7 - 18$

Step 3

Subtract $18$ from $7$ .

$- 11$

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