Solve (x^2)+1/4:pi

$$( x ^ { 2 } ) + \frac { 1 } { 4 } : \pi$$

Evaluate

$$x^{2}+\frac{1}{4\pi }$$

Solution Steps

Express \frac{\frac{1}{4}}{\pi } as a single fraction.

$$x^{2}+\frac{1}{4\pi }$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2} times \frac{4\pi }{4\pi }.

$$\frac{x^{2}\times 4\pi }{4\pi }+\frac{1}{4\pi }$$

Since \frac{x^{2}\times 4\pi }{4\pi } and \frac{1}{4\pi } have the same denominator, add them by adding their numerators.

$$\frac{x^{2}\times 4\pi +1}{4\pi }$$

Factor

$$\frac{4x^{2}+\frac{1}{\pi }}{4}$$