Solve (2x^2-1/2x-1/4)(2x-1)-15/4

$$( 2 x ^ { 2 } - \frac { 1 } { 2 } x - \frac { 1 } { 4 } ) ( 2 x - 1 ) - \frac { 15 } { 4 }$$

Evaluate

$$4x^{3}-3x^{2}-\frac{7}{2}$$

Solution Steps

Use the distributive property to multiply 2x^{2}-\frac{1}{2}x-\frac{1}{4} by 2x-1 and combine like terms.

$$4x^{3}-3x^{2}+\frac{1}{4}-\frac{15}{4}$$

Subtract \frac{15}{4} from \frac{1}{4} to get -\frac{7}{2}.

$$4x^{3}-3x^{2}-\frac{7}{2}$$

Expand

$$4x^{3}-3x^{2}-\frac{7}{2}$$

Solution Steps

Use the distributive property to multiply 2x^{2}-\frac{1}{2}x-\frac{1}{4} by 2x-1 and combine like terms.

$$4x^{3}-3x^{2}+\frac{1}{4}-\frac{15}{4}$$

Subtract \frac{15}{4} from \frac{1}{4} to get -\frac{7}{2}.

$$4x^{3}-3x^{2}-\frac{7}{2}$$