Solve f(x)=2pix^2+600/x

$$f ( x ) = 2 \pi x ^ { 2 } + \frac { 600 } { x }$$

Evaluate

$$\frac{2\left(\pi x^{3}+300\right)}{x}$$

Short Solution Steps

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

$$\frac{2\pi x^{2}x}{x}+\frac{600}{x}$$

Since \frac{2\pi x^{2}x}{x} and \frac{600}{x} have the same denominator, add them by adding their numerators.

$$\frac{2\pi x^{2}x+600}{x}$$

Do the multiplications in 2\pi x^{2}x+600.

$$\frac{2\pi x^{3}+600}{x}$$

Factor

$$\frac{2\left(\pi x^{3}+300\right)}{x}$$