Evaluate 3+(2+3)^2-6/2

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

Step 1

Find the common denominator.

Write $3$ as a fraction with denominator $1$ .

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

Multiply $\frac{3}{1}$ by $\frac{2}{2}$ .

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

Multiply $\frac{3}{1}$ by $\frac{2}{2}$ .

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

Write ${(2 + 3)}^{2}$ as a fraction with denominator $1$ .

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

Multiply $\frac{{(2 + 3)}^{2}}{1}$ by $\frac{2}{2}$ .

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

Multiply $\frac{{(2 + 3)}^{2}}{1}$ by $\frac{2}{2}$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify each term.

Multiply $3$ by $2$ .

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

Add $2$ and $3$ .

$\frac{6 + 5^{2} \cdot 2 - 6}{2}$

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

$\frac{6 + 25 \cdot 2 - 6}{2}$

Multiply $25$ by $2$ .

$\frac{6 + 50 - 6}{2}$

Step 4

Simplify the expression.

Add $6$ and $50$ .

$\frac{56 - 6}{2}$

Subtract $6$ from $56$ .

$\frac{50}{2}$

Divide $50$ by $2$ .

$25$