Solve 1-{left(1-70/100right)}^2

$$1- { \left(1- \frac{ 70 }{ 100 } \right) }^{ 2 }$$

Evaluate

$$\frac{91}{100}=0.91$$

Solution Steps

Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.

$$1-\left(1-\frac{7}{10}\right)^{2}$$

Subtract \frac{7}{10} from 1 to get \frac{3}{10}.

$$1-\left(\frac{3}{10}\right)^{2}$$

Calculate \frac{3}{10} to the power of 2 and get \frac{9}{100}.

$$1-\frac{9}{100}$$

Subtract \frac{9}{100} from 1 to get \frac{91}{100}.

$$\frac{91}{100}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {2} \cdot 5 ^ {2}} = 0.91$$