Solve -2(17/2)^2+23*17/2

$$- 2 ( \frac { 17 } { 2 } ) ^ { 2 } + 23 \times \frac { 17 } { 2 }$$

Evaluate

$$51$$

Solution Steps

Calculate \frac{17}{2} to the power of 2 and get \frac{289}{4}.

$$-2\times \frac{289}{4}+23\times \frac{17}{2}$$

Express -2\times \frac{289}{4} as a single fraction.

$$\frac{-2\times 289}{4}+23\times \frac{17}{2}$$

Multiply -2 and 289 to get -578.

$$\frac{-578}{4}+23\times \frac{17}{2}$$

Reduce the fraction \frac{-578}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{289}{2}+23\times \frac{17}{2}$$

Express 23\times \frac{17}{2} as a single fraction.

$$-\frac{289}{2}+\frac{23\times 17}{2}$$

Multiply 23 and 17 to get 391.

$$-\frac{289}{2}+\frac{391}{2}$$

Since -\frac{289}{2} and \frac{391}{2} have the same denominator, add them by adding their numerators.

$$\frac{-289+391}{2}$$

Add -289 and 391 to get 102.

$$\frac{102}{2}$$

Divide 102 by 2 to get 51.

$$51$$

Factor

$$3\times 17$$