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

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

Step 1

Simplify the numerator.

Subtract $3$ from $- 4$ .

$\frac{{(- 7)}^{2} - 4}{1 - {(- 4)}^{2}}$

Raise $- 7$ to the power of $2$ .

$\frac{49 - 4}{1 - {(- 4)}^{2}}$

Subtract $4$ from $49$ .

$\frac{45}{1 - {(- 4)}^{2}}$

$\frac{45}{1 - {(- 4)}^{2}}$

Step 2

Simplify the denominator.

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

$\frac{45}{1 - 1 \cdot 16}$

Multiply $- 1$ by $16$ .

$\frac{45}{1 - 16}$

Subtract $16$ from $1$ .

$\frac{45}{- 15}$

$\frac{45}{- 15}$

Step 3

Divide $45$ by $- 15$ .

$- 3$

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