Solve 5^2-{left(5/2right)}^2

$${ 5 }^{ 2 } - { \left( \frac{ 5 }{ 2 } \right) }^{ 2 }$$

Evaluate

$$\frac{75}{4}=18.75$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

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

Calculate \frac{5}{2} to the power of 2 and get \frac{25}{4}.

$$25-\frac{25}{4}$$

Convert 25 to fraction \frac{100}{4}.

$$\frac{100}{4}-\frac{25}{4}$$

Since \frac{100}{4} and \frac{25}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-25}{4}$$

Subtract 25 from 100 to get 75.

$$\frac{75}{4}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {2}} = 18\frac{3}{4} = 18.75$$