What is (40m^3n^2-20m^2n^3)/(20m^2n^2) ?

The solution to (40m^3n^2-20m^2n^3)/(20m^2n^2) is 2m-n

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simplify (40m^3n^2-20m^2n^3)/(20m^2n^2)

simplify

\frac{40 m ^{3} n ^{2} - 20 m ^{2} n ^{3}}{20 m ^{2} n ^{2}}

2 m - n

Solution steps

\frac{40 m ^{3} n ^{2} - 20 m ^{2} n ^{3}}{20 m ^{2} n ^{2}}

Factor

40 m^{3} n^{2} - 20 m^{2} n^{3} : 20 m^{2} n^{2} (2 m - n)

= \frac{20 m ^{2} n ^{2} ( 2 m - n )}{20 m ^{2} n ^{2}}

Cancel the common factor:

20

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

Cancel the common factor:

m^{2}

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

Cancel the common factor:

n^{2}

= 2 m - n

- 1^{12}

\frac{3}{8} \div \frac{5}{6}

\frac{20 a ^{- 5} w ^{- 8}}{- 5 ( a ^{- 5} w ^{- 1} ) ^{- 4}}

t^{3} (8 + 9 t) - (t^{2} + 4) (t^{2} - 3 t)

\frac{( 3 x - 9 )}{( x ^{2} - 9 )}

What is (40m^3n^2-20m^2n^3)/(20m^2n^2) ?
The solution to (40m^3n^2-20m^2n^3)/(20m^2n^2) is 2m-n