Solve +(x-2)*(2x-1/2)

$$+ ( x - 2 ) \cdot ( 2 x - \frac { 1 } { 2 } )$$

Evaluate

$$\frac{\left(x-2\right)\left(4x-1\right)}{2}$$

Solution Steps

Apply the distributive property by multiplying each term of x-2 by each term of 2x-\frac{1}{2}.

$$2x^{2}+x\left(-\frac{1}{2}\right)-4x-2\left(-\frac{1}{2}\right)$$

Combine x\left(-\frac{1}{2}\right) and -4x to get -\frac{9}{2}x.

$$2x^{2}-\frac{9}{2}x-2\left(-\frac{1}{2}\right)$$

Multiply -2 times -\frac{1}{2}.

$$2x^{2}-\frac{9}{2}x+1$$

Expand

$$2x^{2}-\frac{9x}{2}+1$$

Solution Steps

Apply the distributive property by multiplying each term of x-2 by each term of 2x-\frac{1}{2}.

$$2x^{2}+x\left(-\frac{1}{2}\right)-4x-2\left(-\frac{1}{2}\right)$$

Combine x\left(-\frac{1}{2}\right) and -4x to get -\frac{9}{2}x.

$$2x^{2}-\frac{9}{2}x-2\left(-\frac{1}{2}\right)$$

Multiply -2 times -\frac{1}{2}.

$$2x^{2}-\frac{9}{2}x+1$$