Solve m^{3}n^2:(2/5m^2n)+(-5/2mn^3):n^2

$$m ^ { 3 } n ^ { 2 } : ( \frac { 2 } { 5 } m ^ { 2 } n ) + ( - \frac { 5 } { 2 } m n ^ { 3 } ) : n ^ { 2 }$$

Factor

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Solution Steps

Cancel out nm^{2} in both numerator and denominator.

$$factor(\frac{mn}{\frac{2}{5}}+\frac{-\frac{5}{2}mn^{3}}{n^{2}})$$

Divide mn by \frac{2}{5} by multiplying mn by the reciprocal of \frac{2}{5}.

$$factor(\frac{mn\times 5}{2}+\frac{-\frac{5}{2}mn^{3}}{n^{2}})$$

Cancel out n^{2} in both numerator and denominator.

$$factor(\frac{mn\times 5}{2}-\frac{5}{2}mn)$$

Factor out \frac{5}{2}.

$$\frac{5\left(mn-mn\right)}{2}$$

Consider mn-mn. Factor out mn.

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Evaluate

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