Solve 5^2-12^2/5^2

$${ 5 }^{ 2 } - \frac{ { 12 }^{ 2 } }{ { 5 }^{ 2 } }$$

Evaluate

$$\frac{481}{25}=19.24$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$25-\frac{12^{2}}{5^{2}}$$

Calculate 12 to the power of 2 and get 144.

$$25-\frac{144}{5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$25-\frac{144}{25}$$

Convert 25 to fraction \frac{625}{25}.

$$\frac{625}{25}-\frac{144}{25}$$

Since \frac{625}{25} and \frac{144}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{625-144}{25}$$

Subtract 144 from 625 to get 481.

$$\frac{481}{25}$$

Factor

$$\frac{13 \cdot 37}{5 ^ {2}} = 19\frac{6}{25} = 19.24$$