Solve m/x+2*2(x+2)/m^2(x-2)

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

Evaluate

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

Short Solution Steps

Use the distributive property to multiply 2 by x+2.

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

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

$$\frac{m}{x+2}\times \frac{2x+4}{m^{2}x-2m^{2}}$$

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

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

Factor the expressions that are not already factored.

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

Cancel out m\left(x+2\right) in both numerator and denominator.

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

Expand the expression.

$$\frac{2}{mx-2m}$$

Expand

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

Short Solution Steps

Use the distributive property to multiply 2 by x+2.

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

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

$$\frac{m}{x+2}\times \frac{2x+4}{m^{2}x-2m^{2}}$$

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

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

Factor the expressions that are not already factored.

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

Cancel out m\left(x+2\right) in both numerator and denominator.

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

Expand the expression.

$$\frac{2}{mx-2m}$$