Solve 2(5/2)^2-10(5/2)

$$2 ( \frac { 5 } { 2 } ) ^ { 2 } - 10 ( \frac { 5 } { 2 } )$$

Evaluate

$$-\frac{25}{2}=-12.5$$

Solution Steps

Calculate \frac{5}{2} to the power of 2 and get \frac{25}{4}.

$$2\times \frac{25}{4}-10\times \frac{5}{2}$$

Express 2\times \frac{25}{4} as a single fraction.

$$\frac{2\times 25}{4}-10\times \frac{5}{2}$$

Multiply 2 and 25 to get 50.

$$\frac{50}{4}-10\times \frac{5}{2}$$

Reduce the fraction \frac{50}{4} to lowest terms by extracting and canceling out 2.

$$\frac{25}{2}-10\times \frac{5}{2}$$

Express 10\times \frac{5}{2} as a single fraction.

$$\frac{25}{2}-\frac{10\times 5}{2}$$

Multiply 10 and 5 to get 50.

$$\frac{25}{2}-\frac{50}{2}$$

Since \frac{25}{2} and \frac{50}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-50}{2}$$

Subtract 50 from 25 to get -25.

$$-\frac{25}{2}$$

Factor

$$-\frac{25}{2} = -12\frac{1}{2} = -12.5$$