Solve frac{m^{3}n-m^2n^2}{n^2-m^2}

$$\frac { m ^ { 3 } n - m ^ { 2 } n ^ { 2 } } { n ^ { 2 } - m ^ { 2 } }$$

Evaluate

$$-\frac{nm^{2}}{m+n}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Extract the negative sign in m-n.

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

Cancel out -m+n in both numerator and denominator.

$$\frac{-nm^{2}}{m+n}$$

Expand

$$-\frac{nm^{2}}{m+n}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Extract the negative sign in m-n.

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

Cancel out -m+n in both numerator and denominator.

$$\frac{-nm^{2}}{m+n}$$