Solve (-16-8x)(2+x/2)*(1x)

$$(-16-8x)( \frac{ 2+x }{ 2 } ) \times (1x)$$

Evaluate

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

Solution Steps

Express \left(-16-8x\right)\times \frac{2+x}{2} as a single fraction.

$$\frac{\left(-16-8x\right)\left(2+x\right)}{2}\times 1x$$

Express \frac{\left(-16-8x\right)\left(2+x\right)}{2}\times 1 as a single fraction.

$$\frac{\left(-16-8x\right)\left(2+x\right)}{2}x$$

Express \frac{\left(-16-8x\right)\left(2+x\right)}{2}x as a single fraction.

$$\frac{\left(-16-8x\right)\left(2+x\right)x}{2}$$

Apply the distributive property by multiplying each term of -16-8x by each term of 2+x.

$$\frac{\left(-32-16x-16x-8x^{2}\right)x}{2}$$

Combine -16x and -16x to get -32x.

$$\frac{\left(-32-32x-8x^{2}\right)x}{2}$$

Use the distributive property to multiply -32-32x-8x^{2} by x.

$$\frac{-32x-32x^{2}-8x^{3}}{2}$$

Expand

$$-4x^{3}-16x^{2}-16x$$

Solution Steps

Express \left(-16-8x\right)\times \frac{2+x}{2} as a single fraction.

$$\frac{\left(-16-8x\right)\left(2+x\right)}{2}\times 1x$$

Express \frac{\left(-16-8x\right)\left(2+x\right)}{2}\times 1 as a single fraction.

$$\frac{\left(-16-8x\right)\left(2+x\right)}{2}x$$

Express \frac{\left(-16-8x\right)\left(2+x\right)}{2}x as a single fraction.

$$\frac{\left(-16-8x\right)\left(2+x\right)x}{2}$$

Apply the distributive property by multiplying each term of -16-8x by each term of 2+x.

$$\frac{\left(-32-16x-16x-8x^{2}\right)x}{2}$$

Combine -16x and -16x to get -32x.

$$\frac{\left(-32-32x-8x^{2}\right)x}{2}$$

Use the distributive property to multiply -32-32x-8x^{2} by x.

$$\frac{-32x-32x^{2}-8x^{3}}{2}$$