Solve 4(3/2)^2-8(3/2)+3

$$4 ( \frac { 3 } { 2 } ) ^ { 2 } - 8 ( \frac { 3 } { 2 } ) + 3$$

Evaluate

$$0$$

Solution Steps

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

$$4\times \frac{9}{4}-8\times \frac{3}{2}+3$$

Cancel out 4 and 4.

$$9-8\times \frac{3}{2}+3$$

Express 8\times \frac{3}{2} as a single fraction.

$$9-\frac{8\times 3}{2}+3$$

Multiply 8 and 3 to get 24.

$$9-\frac{24}{2}+3$$

Divide 24 by 2 to get 12.

$$9-12+3$$

Subtract 12 from 9 to get -3.

$$-3+3$$

Add -3 and 3 to get 0.

$$0$$

Factor

$$0$$