What is ((3mn^3)/n)/((4m^2-12m)) ?

The solution to ((3mn^3)/n)/((4m^2-12m)) is (3n^2)/(4(m-3))

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simplify ((3mn^3)/n)/((4m^2-12m))

simplify

\frac{\frac{3 m n ^{3}}{n}}{( 4 m ^{2} - 12 m )}

\frac{3 n ^{2}}{4 ( m - 3 )}

Solution steps

\frac{\frac{3 m n ^{3}}{n}}{4 m ^{2} - 12 m}

Cancel

\frac{3 m n ^{3}}{n} : 3 m n^{2}

= \frac{3 m n ^{2}}{4 m ^{2} - 12 m}

Factor

4 m^{2} - 12 m : 4 m (m - 3)

= \frac{3 m n ^{2}}{4 m ( m - 3 )}

Cancel the common factor:

m

= \frac{3 n ^{2}}{4 ( m - 3 )}

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What is ((3mn^3)/n)/((4m^2-12m)) ?
The solution to ((3mn^3)/n)/((4m^2-12m)) is (3n^2)/(4(m-3))