Solve 2pi(1/T-x/x)

$$2 \pi ( \frac { 1 } { T } - \frac { x } { x } )$$

Evaluate

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

Short Solution Steps

Divide x by x to get 1.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{T}{T}.

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

Since \frac{1}{T} and \frac{T}{T} have the same denominator, subtract them by subtracting their numerators.

$$2\pi \times \frac{1-T}{T}$$

Express 2\times \frac{1-T}{T} as a single fraction.

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

Use the distributive property to multiply 2 by 1-T.

$$\frac{2-2T}{T}\pi$$

Express \frac{2-2T}{T}\pi as a single fraction.

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

Use the distributive property to multiply 2-2T by \pi .

$$\frac{2\pi -2T\pi }{T}$$

Expand

$$-2\pi +\frac{2\pi }{T}$$

Short Solution Steps

Divide x by x to get 1.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{T}{T}.

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

Since \frac{1}{T} and \frac{T}{T} have the same denominator, subtract them by subtracting their numerators.

$$2\pi \times \frac{1-T}{T}$$

Express 2\times \frac{1-T}{T} as a single fraction.

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

Use the distributive property to multiply 2 by 1-T.

$$\frac{2-2T}{T}\pi$$

Express \frac{2-2T}{T}\pi as a single fraction.

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

Use the distributive property to multiply 2-2T by \pi .

$$\frac{2\pi -2T\pi }{T}$$