Algebra Examples

$3^{2} - 3 \cdot (5^{2} - 9) \div 2$

Step 1

Simplify each term.

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Step 1.1

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

$9 - 3 \cdot (5^{2} - 9) \div 2$

Step 1.2

Rewrite the division as a fraction.

$9 - \frac{3 \cdot (5^{2} - 9)}{2}$

Step 1.3

Simplify the numerator.

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Step 1.3.1

Raise $5$ to the power of $2$ .

$9 - \frac{3 (25 - 9)}{2}$

Step 1.3.2

Subtract $9$ from $25$ .

$9 - \frac{3 \cdot 16}{2}$

$9 - \frac{3 \cdot 16}{2}$

Step 1.4

Multiply $3$ by $16$ .

$9 - \frac{48}{2}$

Step 1.5

Divide $48$ by $2$ .

$9 - 1 \cdot 24$

Step 1.6

Multiply $- 1$ by $24$ .

$9 - 24$

$9 - 24$

Step 2

Subtract $24$ from $9$ .

$- 15$

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