What is ((6m^3-8m^2n+20mn^2))/((-2m)) ?

The solution to ((6m^3-8m^2n+20mn^2))/((-2m)) is -3m^2+4mn-10n^2

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simplify ((6m^3-8m^2n+20mn^2))/((-2m))

simplify

\frac{( 6 m ^{3} - 8 m ^{2} n + 20 m n ^{2} )}{( - 2 m )}

- 3 m^{2} + 4 mn - 10 n^{2}

Solution steps

\frac{6 m ^{3} - 8 m ^{2} n + 20 m n ^{2}}{- 2 m}

Factor

6 m^{3} - 8 m^{2} n + 20 m n^{2} : 2 m (3 m^{2} - 4 mn + 10 n^{2})

= \frac{2 m ( 3 m ^{2} - 4 mn + 10 n ^{2} )}{- 2 m}

Cancel the common factor:

2

= \frac{m ( 3 m ^{2} - 4 mn + 10 n ^{2} )}{- m}

Cancel the common factor:

m

= \frac{3 m ^{2} - 4 mn + 10 n ^{2}}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (3 m^{2} - 4 mn + 10 n^{2})

Simplify

- (3 m^{2} - 4 mn + 10 n^{2}) : - 3 m^{2} + 4 mn - 10 n^{2}

= - 3 m^{2} + 4 mn - 10 n^{2}

\frac{28 x ^{9} y ^{6} - 49 x ^{7} y ^{3} - 7 x ^{2} y}{7 x ^{2} y}

8 a^{2} - 2 + 5 + 10 a + 9 + 7

\frac{x}{- 1}

80 + 20

5 e^{1}

What is ((6m^3-8m^2n+20mn^2))/((-2m)) ?
The solution to ((6m^3-8m^2n+20mn^2))/((-2m)) is -3m^2+4mn-10n^2