Solve (7/2)^2-(3/2)^2=

$$( \frac { 7 } { 2 } ) ^ { 2 } - ( \frac { 3 } { 2 } ) ^ { 2 } =$$

Evaluate

$$10$$

Solution Steps

Calculate \frac{7}{2} to the power of 2 and get \frac{49}{4}.

$$\frac{49}{4}-\left(\frac{3}{2}\right)^{2}$$

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

$$\frac{49}{4}-\frac{9}{4}$$

Since \frac{49}{4} and \frac{9}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-9}{4}$$

Subtract 9 from 49 to get 40.

$$\frac{40}{4}$$

Divide 40 by 4 to get 10.

$$10$$

Factor

$$2\times 5$$