Solve (0.081)^2-(0.019)^2/0.062

$$\frac { ( 0.081 ) ^ { 2 } - ( 0.019 ) ^ { 2 } } { 0.062 }$$

Evaluate

$$0.1$$

Solution Steps

Calculate 0.081 to the power of 2 and get 0.006561.

$$\frac{0.006561-0.019^{2}}{0.062}$$

Calculate 0.019 to the power of 2 and get 0.000361.

$$\frac{0.006561-0.000361}{0.062}$$

Subtract 0.000361 from 0.006561 to get 0.0062.

$$\frac{0.0062}{0.062}$$

Expand \frac{0.0062}{0.062} by multiplying both numerator and the denominator by 10000.

$$\frac{62}{620}$$

Reduce the fraction \frac{62}{620} to lowest terms by extracting and canceling out 62.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$