Solve 2pia/aq(1/2a-1)

$$\frac { 2 \pi a } { a q } ( \frac { 1 } { 2 } a - 1 )$$

Evaluate

$$\frac{\pi \left(a-2\right)}{q}$$

Short Solution Steps

Cancel out a in both numerator and denominator.

$$\frac{2\pi }{q}\left(\frac{1}{2}a-1\right)$$

Use the distributive property to multiply \frac{2\pi }{q} by \frac{1}{2}a-1.

$$\frac{2\pi }{q}\times \frac{1}{2}a-\frac{2\pi }{q}$$

Multiply \frac{2\pi }{q} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\pi }{q\times 2}a-\frac{2\pi }{q}$$

Cancel out 2 in both numerator and denominator.

$$\frac{\pi }{q}a-\frac{2\pi }{q}$$

Express \frac{\pi }{q}a as a single fraction.

$$\frac{\pi a}{q}-\frac{2\pi }{q}$$

Since \frac{\pi a}{q} and \frac{2\pi }{q} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\pi a-2\pi }{q}$$

Expand

$$\frac{\pi a-2\pi }{q}$$

Short Solution Steps

Cancel out a in both numerator and denominator.

$$\frac{2\pi }{q}\left(\frac{1}{2}a-1\right)$$

Use the distributive property to multiply \frac{2\pi }{q} by \frac{1}{2}a-1.

$$\frac{2\pi }{q}\times \frac{1}{2}a-\frac{2\pi }{q}$$

Multiply \frac{2\pi }{q} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\pi }{q\times 2}a-\frac{2\pi }{q}$$

Cancel out 2 in both numerator and denominator.

$$\frac{\pi }{q}a-\frac{2\pi }{q}$$

Express \frac{\pi }{q}a as a single fraction.

$$\frac{\pi a}{q}-\frac{2\pi }{q}$$

Since \frac{\pi a}{q} and \frac{2\pi }{q} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\pi a-2\pi }{q}$$