Solve (1/2-3/4)^2-(+15/8)*(-4/5)-(-frac{5}{4})^2

$$( \frac { 1 } { 2 } - \frac { 3 } { 4 } ) ^ { 2 } - ( + \frac { 15 } { 8 } ) \cdot ( - \frac { 4 } { 5 } ) - ( - \frac { 5 } { 4 } ) ^ { 2 }$$

Evaluate

$$0$$

Solution Steps

Subtract \frac{3}{4} from \frac{1}{2} to get -\frac{1}{4}.

$$\left(-\frac{1}{4}\right)^{2}-\frac{15}{8}\left(-\frac{4}{5}\right)-\left(-\frac{5}{4}\right)^{2}$$

Calculate -\frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\frac{1}{16}-\frac{15}{8}\left(-\frac{4}{5}\right)-\left(-\frac{5}{4}\right)^{2}$$

Multiply \frac{15}{8} and -\frac{4}{5} to get -\frac{3}{2}.

$$\frac{1}{16}-\left(-\frac{3}{2}\right)-\left(-\frac{5}{4}\right)^{2}$$

The opposite of -\frac{3}{2} is \frac{3}{2}.

$$\frac{1}{16}+\frac{3}{2}-\left(-\frac{5}{4}\right)^{2}$$

Add \frac{1}{16} and \frac{3}{2} to get \frac{25}{16}.

$$\frac{25}{16}-\left(-\frac{5}{4}\right)^{2}$$

Calculate -\frac{5}{4} to the power of 2 and get \frac{25}{16}.

$$\frac{25}{16}-\frac{25}{16}$$

Subtract \frac{25}{16} from \frac{25}{16} to get 0.

$$0$$

Factor

$$0$$