Evaluate (4(-2)+4(3+(-4))^2)/(3-1)

$\frac{4 (- 2) + 4 {(3 + (- 4))}^{2}}{3 - 1}$

Simplify the numerator.

Multiply $4$ by $- 2$ .

$\frac{- 8 + 4 {(3 - 4)}^{2}}{3 - 1}$

Subtract $4$ from $3$ .

$\frac{- 8 + 4 {(- 1)}^{2}}{3 - 1}$

Raise $- 1$ to the power of $2$ .

$\frac{- 8 + 4 \cdot 1}{3 - 1}$

Multiply $4$ by $1$ .

$\frac{- 8 + 4}{3 - 1}$

Add $- 8$ and $4$ .

$\frac{- 4}{3 - 1}$

$\frac{- 4}{3 - 1}$

Simplify the expression.

Subtract $1$ from $3$ .

$\frac{- 4}{2}$

Divide $- 4$ by $2$ .

$- 2$

$- 2$

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