Solve -9^2/2+9(-9/2)+18

$$- \frac { 9 ^ { 2 } } { 2 } + 9 ( - \frac { 9 } { 2 } ) + 18$$

Evaluate

$$-63$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$-\frac{81}{2}+9\left(-\frac{9}{2}\right)+18$$

Express 9\left(-\frac{9}{2}\right) as a single fraction.

$$-\frac{81}{2}+\frac{9\left(-9\right)}{2}+18$$

Multiply 9 and -9 to get -81.

$$-\frac{81}{2}+\frac{-81}{2}+18$$

Fraction \frac{-81}{2} can be rewritten as -\frac{81}{2} by extracting the negative sign.

$$-\frac{81}{2}-\frac{81}{2}+18$$

Since -\frac{81}{2} and \frac{81}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-81-81}{2}+18$$

Subtract 81 from -81 to get -162.

$$\frac{-162}{2}+18$$

Divide -162 by 2 to get -81.

$$-81+18$$

Add -81 and 18 to get -63.

$$-63$$

Factor

$$-63$$