Evaluate (8+2)-(9-2^2)

$(8 + 2) - (9 - 2^{2})$

Step 1

Simplify each term.

Simplify each term.

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

$8 + 2 - (9 - 1 \cdot 4)$

Multiply $- 1$ by $4$ .

$8 + 2 - (9 - 4)$

$8 + 2 - (9 - 4)$

Subtract $4$ from $9$ .

$8 + 2 - 1 \cdot 5$

Multiply $- 1$ by $5$ .

$8 + 2 - 5$

$8 + 2 - 5$

Step 2

Simplify by adding and subtracting.

Add $8$ and $2$ .

$10 - 5$

Subtract $5$ from $10$ .

$5$

$5$

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