Solve -2/x(-4/x(x^2+x/2)

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

Evaluate

$$4+\frac{4}{x}$$

Short Solution Steps

Multiply -\frac{2}{x} times -\frac{4}{x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4}{xx}\times \frac{x^{2}+x}{2}$$

Multiply \frac{2\times 4}{xx} times \frac{x^{2}+x}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4\left(x^{2}+x\right)}{xx\times 2}$$

Cancel out 2 in both numerator and denominator.

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

Multiply x and x to get x^{2}.

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

Factor the expressions that are not already factored.

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

Cancel out x in both numerator and denominator.

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

Expand the expression.

$$\frac{4x+4}{x}$$

Expand

$$4+\frac{4}{x}$$

Short Solution Steps

Multiply -\frac{2}{x} times -\frac{4}{x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4}{xx}\times \frac{x^{2}+x}{2}$$

Multiply \frac{2\times 4}{xx} times \frac{x^{2}+x}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4\left(x^{2}+x\right)}{xx\times 2}$$

Cancel out 2 in both numerator and denominator.

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

Multiply x and x to get x^{2}.

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

Factor the expressions that are not already factored.

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

Cancel out x in both numerator and denominator.

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

Expand the expression.

$$\frac{4x+4}{x}$$