Evaluate 11-2(7-(1+4)^2)

$11 - 2 (7 - {(1 + 4)}^{2})$

Simplify each term.

Simplify each term.

Add $1$ and $4$ .

$11 - 2 (7 - 5^{2})$

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

$11 - 2 (7 - 1 \cdot 25)$

Multiply $- 1$ by $25$ .

$11 - 2 (7 - 25)$

$11 - 2 (7 - 25)$

Subtract $25$ from $7$ .

$11 - 2 \cdot - 18$

Multiply $- 2$ by $- 18$ .

$11 + 36$

$11 + 36$

Add $11$ and $36$ .

$47$

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