Solve (-2)^2-5(-2)-24/(-2)^2-1

$$\frac { ( - 2 ) ^ { 2 } - 5 ( - 2 ) - 24 } { ( - 2 ) ^ { 2 } - 1 }$$

Evaluate

$$-\frac{10}{3}\approx -3.333333333$$

Solution Steps

Calculate -2 to the power of 2 and get 4.

$$\frac{4-5\left(-2\right)-24}{\left(-2\right)^{2}-1}$$

Multiply 5 and -2 to get -10.

$$\frac{4-\left(-10\right)-24}{\left(-2\right)^{2}-1}$$

The opposite of -10 is 10.

$$\frac{4+10-24}{\left(-2\right)^{2}-1}$$

Add 4 and 10 to get 14.

$$\frac{14-24}{\left(-2\right)^{2}-1}$$

Subtract 24 from 14 to get -10.

$$\frac{-10}{\left(-2\right)^{2}-1}$$

Calculate -2 to the power of 2 and get 4.

$$\frac{-10}{4-1}$$

Subtract 1 from 4 to get 3.

$$\frac{-10}{3}$$

Fraction \frac{-10}{3} can be rewritten as -\frac{10}{3} by extracting the negative sign.

$$-\frac{10}{3}$$

Factor

$$-\frac{10}{3} = -3\frac{1}{3} = -3.3333333333333335$$