Solve f(x)=x^3/2-16

$$f ( x ) = \frac { x ^ { 3 } } { 2 } - 16$$

Evaluate

$$\frac{x^{3}}{2}-16$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 16 times \frac{2}{2}.

$$\frac{x^{3}}{2}-\frac{16\times 2}{2}$$

Since \frac{x^{3}}{2} and \frac{16\times 2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x^{3}-16\times 2}{2}$$

Do the multiplications in x^{3}-16\times 2.

$$\frac{x^{3}-32}{2}$$

Factor

$$\frac{x^{3}-32}{2}$$

Solution Steps

Factor out \frac{1}{2}. Polynomial x^{3}-32 is not factored since it does not have any rational roots.

$$\frac{x^{3}-32}{2}$$