Simplify 3^2-(3*(5^2-9))÷2

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

Step 1

Simplify each term.

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

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

Rewrite the division as a fraction.

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

Simplify the numerator.

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

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

Subtract $9$ from $25$ .

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

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

Multiply $3$ by $16$ .

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

Divide $48$ by $2$ .

$9 - 1 \cdot 24$

Multiply $- 1$ by $24$ .

$9 - 24$

$9 - 24$

Step 2

Subtract $24$ from $9$ .

$- 15$

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