Solve f(-3)=(-3)^3-2(-3)/(-3)^2-4

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

Evaluate

$$-\frac{21}{5}=-4.2$$

Solution Steps

Calculate -3 to the power of 3 and get -27.

$$\frac{-27-2\left(-3\right)}{\left(-3\right)^{2}-4}$$

Multiply 2 and -3 to get -6.

$$\frac{-27-\left(-6\right)}{\left(-3\right)^{2}-4}$$

The opposite of -6 is 6.

$$\frac{-27+6}{\left(-3\right)^{2}-4}$$

Add -27 and 6 to get -21.

$$\frac{-21}{\left(-3\right)^{2}-4}$$

Calculate -3 to the power of 2 and get 9.

$$\frac{-21}{9-4}$$

Subtract 4 from 9 to get 5.

$$\frac{-21}{5}$$

Fraction \frac{-21}{5} can be rewritten as -\frac{21}{5} by extracting the negative sign.

$$-\frac{21}{5}$$

Factor

$$-\frac{21}{5} = -4\frac{1}{5} = -4.2$$