Solve frac{m^{2}-mm}{m^{2}+mm}*m^2n+mn^2/m^3-m^2n

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

Evaluate

$$0$$

Short Solution Steps

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

$$\frac{m^{2}-m^{2}}{m^{2}+mm}\times \frac{m^{2}n+mn^{2}}{m^{3}-m^{2}n}$$

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

$$\frac{m^{2}-m^{2}}{m^{2}+m^{2}}\times \frac{m^{2}n+mn^{2}}{m^{3}-m^{2}n}$$

Combine m^{2} and -m^{2} to get 0.

$$\frac{0}{m^{2}+m^{2}}\times \frac{m^{2}n+mn^{2}}{m^{3}-m^{2}n}$$

Combine m^{2} and m^{2} to get 2m^{2}.

$$\frac{0}{2m^{2}}\times \frac{m^{2}n+mn^{2}}{m^{3}-m^{2}n}$$

Zero divided by any non-zero term gives zero.

$$0\times \frac{m^{2}n+mn^{2}}{m^{3}-m^{2}n}$$

Factor the expressions that are not already factored in \frac{m^{2}n+mn^{2}}{m^{3}-m^{2}n}.

$$0\times \frac{mn\left(m+n\right)}{\left(m-n\right)m^{2}}$$

Cancel out m in both numerator and denominator.

$$0\times \frac{n\left(m+n\right)}{m\left(m-n\right)}$$

Anything times zero gives zero.

$$0$$

Factor

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