Solve 2*(3/2)^2-2*1^2

$$2 \times ( \frac { 3 } { 2 } ) ^ { 2 } - 2 \times 1 ^ { 2 }$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

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

$$2\times \frac{9}{4}-2\times 1^{2}$$

Express 2\times \frac{9}{4} as a single fraction.

$$\frac{2\times 9}{4}-2\times 1^{2}$$

Multiply 2 and 9 to get 18.

$$\frac{18}{4}-2\times 1^{2}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}-2\times 1^{2}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{9}{2}-2\times 1$$

Multiply 2 and 1 to get 2.

$$\frac{9}{2}-2$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{9}{2}-\frac{4}{2}$$

Since \frac{9}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{2}$$

Subtract 4 from 9 to get 5.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$