Solve (1-1/3)^2-(2-2/3)^2

$$( 1 - \frac { 1 } { 3 } ) ^ { 2 } - ( 2 - \frac { 2 } { 3 } ) ^ { 2 }$$

Evaluate

$$-\frac{4}{3}\approx -1.333333333$$

Solution Steps

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

$$\left(\frac{2}{3}\right)^{2}-\left(2-\frac{2}{3}\right)^{2}$$

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$\frac{4}{9}-\left(2-\frac{2}{3}\right)^{2}$$

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

$$\frac{4}{9}-\left(\frac{4}{3}\right)^{2}$$

Calculate \frac{4}{3} to the power of 2 and get \frac{16}{9}.

$$\frac{4}{9}-\frac{16}{9}$$

Subtract \frac{16}{9} from \frac{4}{9} to get -\frac{4}{3}.

$$-\frac{4}{3}$$

Factor

$$-\frac{4}{3} = -1\frac{1}{3} = -1.3333333333333333$$