Solve (-5)^2-4^2+(1/5)^2

$$( - 5 ) ^ { 2 } - 4 ^ { 2 } + ( \frac { 1 } { 5 } ) ^ { 2 }$$

Evaluate

$$\frac{226}{25}=9.04$$

Solution Steps

Calculate -5 to the power of 2 and get 25.

$$25-4^{2}+\left(\frac{1}{5}\right)^{2}$$

Calculate 4 to the power of 2 and get 16.

$$25-16+\left(\frac{1}{5}\right)^{2}$$

Subtract 16 from 25 to get 9.

$$9+\left(\frac{1}{5}\right)^{2}$$

Calculate \frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$9+\frac{1}{25}$$

Convert 9 to fraction \frac{225}{25}.

$$\frac{225}{25}+\frac{1}{25}$$

Since \frac{225}{25} and \frac{1}{25} have the same denominator, add them by adding their numerators.

$$\frac{225+1}{25}$$

Add 225 and 1 to get 226.

$$\frac{226}{25}$$

Factor

$$\frac{2 \cdot 113}{5 ^ {2}} = 9\frac{1}{25} = 9.04$$