Solve -pi/4+2npi

$$- \frac { \pi } { 4 } + 2 n \pi$$

Evaluate

$$2\pi n-\frac{\pi }{4}$$

Short Solution Steps

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

$$-\frac{\pi }{4}+\frac{4\times 2n\pi }{4}$$

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

$$\frac{-\pi +4\times 2n\pi }{4}$$

Do the multiplications in -\pi +4\times 2n\pi .

$$\frac{-\pi +8n\pi }{4}$$

Factor

$$\frac{\pi \left(8n-1\right)}{4}$$

Solution Steps

Factor out \frac{1}{4}.

$$\frac{-\pi +8n\pi }{4}$$

Consider -\pi +8n\pi . Factor out \pi .

$$\pi \left(-1+8n\right)$$

Rewrite the complete factored expression.

$$\frac{\pi \left(8n-1\right)}{4}$$