Evaluate ((1+9)/-2)^2-4^2

${(\frac{1 + 9}{- 2})}^{2} - 4^{2}$

Step 1

Simplify each term.

Add $1$ and $9$ .

${(\frac{10}{- 2})}^{2} - 4^{2}$

Divide $10$ by $- 2$ .

${(- 5)}^{2} - 4^{2}$

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

$25 - 4^{2}$

Raise $4$ to the power of $2$ .

$25 - 1 \cdot 16$

Multiply $- 1$ by $16$ .

$25 - 16$

$25 - 16$

Step 2

Subtract $16$ from $25$ .

$9$

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