Solve 2(x+b/2-2)2x

$$2 ( x + \frac { b } { 2 } - 2 ) 2 x$$

Evaluate

$$2x\left(2x+b-4\right)$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x-2 times \frac{2}{2}.

$$2\left(\frac{2\left(x-2\right)}{2}+\frac{b}{2}\right)\times 2x$$

Since \frac{2\left(x-2\right)}{2} and \frac{b}{2} have the same denominator, add them by adding their numerators.

$$2\times \frac{2\left(x-2\right)+b}{2}\times 2x$$

Do the multiplications in 2\left(x-2\right)+b.

$$2\times \frac{2x-4+b}{2}\times 2x$$

Multiply 2 and 2 to get 4.

$$4\times \frac{2x-4+b}{2}x$$

Cancel out 2, the greatest common factor in 4 and 2.

$$2\left(2x-4+b\right)x$$

Use the distributive property to multiply 2 by 2x-4+b.

$$\left(4x-8+2b\right)x$$

Use the distributive property to multiply 4x-8+2b by x.

$$4x^{2}-8x+2bx$$

Expand

$$4x^{2}+2bx-8x$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x-2 times \frac{2}{2}.

$$2\left(\frac{2\left(x-2\right)}{2}+\frac{b}{2}\right)\times 2x$$

Since \frac{2\left(x-2\right)}{2} and \frac{b}{2} have the same denominator, add them by adding their numerators.

$$2\times \frac{2\left(x-2\right)+b}{2}\times 2x$$

Do the multiplications in 2\left(x-2\right)+b.

$$2\times \frac{2x-4+b}{2}\times 2x$$

Multiply 2 and 2 to get 4.

$$4\times \frac{2x-4+b}{2}x$$

Cancel out 2, the greatest common factor in 4 and 2.

$$2\left(2x-4+b\right)x$$

Use the distributive property to multiply 2 by 2x-4+b.

$$\left(4x-8+2b\right)x$$

Use the distributive property to multiply 4x-8+2b by x.

$$4x^{2}-8x+2bx$$