Solve pi/2x^2+x

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

Evaluate

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

Solution Steps

Express \frac{\pi }{2}x^{2} as a single fraction.

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

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

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

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

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

Factor

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

Solution Steps

Factor out \frac{1}{2}.

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

Consider \pi x^{2}+2x. Factor out x.

$$x\left(\pi x+2\right)$$

Rewrite the complete factored expression.

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