What is (6m^3-18m^2-24m)/(15m-9m^2) ?

The solution to (6m^3-18m^2-24m)/(15m-9m^2) is (2(m+1)(m-4))/(5-3m)

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simplify (6m^3-18m^2-24m)/(15m-9m^2)

simplify

\frac{6 m ^{3} - 18 m ^{2} - 24 m}{15 m - 9 m ^{2}}

\frac{2 ( m + 1 ) ( m - 4 )}{5 - 3 m}

Solution steps

\frac{6 m ^{3} - 18 m ^{2} - 24 m}{15 m - 9 m ^{2}}

Factor

6 m^{3} - 18 m^{2} - 24 m : 6 m (m + 1) (m - 4)

= \frac{6 m ( m + 1 ) ( m - 4 )}{15 m - 9 m ^{2}}

Factor

15 m - 9 m^{2} : 3 m (5 - 3 m)

= \frac{6 m ( m + 1 ) ( m - 4 )}{3 m ( 5 - 3 m )}

Cancel the common factor:

m

= \frac{6 ( m + 1 ) ( m - 4 )}{3 ( 5 - 3 m )}

Factor the number:

6 = 3 \cdot 2

= \frac{3 \cdot 2 ( m + 1 ) ( m - 4 )}{3 ( 5 - 3 m )}

Cancel the common factor:

3

= \frac{2 ( m + 1 ) ( m - 4 )}{5 - 3 m}

6 (- 5 n + 7)

\frac{\frac{7 x}{x - 8}}{\frac{x ^{2} + 4 x - 32}{x ^{2} - 64}}

(- 9) (- 7 - 100)

6 x^{2} - 6 x

(- 4 q^{3}) (8 q)

What is (6m^3-18m^2-24m)/(15m-9m^2) ?
The solution to (6m^3-18m^2-24m)/(15m-9m^2) is (2(m+1)(m-4))/(5-3m)