Solve (5/2)^2-(3/2)^2=

$$( \frac { 5 } { 2 } ) ^ { 2 } - ( \frac { 3 } { 2 } ) ^ { 2 } =$$

Evaluate

$$4$$

Solution Steps

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

$$\frac{25}{4}-\left(\frac{3}{2}\right)^{2}$$

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$\frac{25}{4}-\frac{9}{4}$$

Since \frac{25}{4} and \frac{9}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-9}{4}$$

Subtract 9 from 25 to get 16.

$$\frac{16}{4}$$

Divide 16 by 4 to get 4.

$$4$$

Factor

$$2^{2}$$