Evaluate 20-(-2(5-1)^2+9)

$20 - (- 2 {(5 - 1)}^{2} + 9)$

Step 1

Simplify each term.

Simplify each term.

Subtract $1$ from $5$ .

$20 - (- 2 \cdot 4^{2} + 9)$

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

$20 - (- 2 \cdot 16 + 9)$

Multiply $- 2$ by $16$ .

$20 - (- 32 + 9)$

$20 - (- 32 + 9)$

Add $- 32$ and $9$ .

$20 - - 23$

Multiply $- 1$ by $- 23$ .

$20 + 23$

$20 + 23$

Step 2

Add $20$ and $23$ .

$43$

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