What is (3m^3-27m^2)/(2m^2-17m-9)-(6m)/(20m^2-5) ?

The solution to (3m^3-27m^2)/(2m^2-17m-9)-(6m)/(20m^2-5) is (30m^3-15m^2-6m)/(5(2m+1)(2m-1))

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simplify (3m^3-27m^2)/(2m^2-17m-9)-(6m)/(20m^2-5)

simplify

\frac{3 m ^{3} - 27 m ^{2}}{2 m ^{2} - 17 m - 9} - \frac{6 m}{20 m ^{2} - 5}

\frac{30 m ^{3} - 15 m ^{2} - 6 m}{5 ( 2 m + 1 ) ( 2 m - 1 )}

Solution steps

\frac{3 m ^{3} - 27 m ^{2}}{2 m ^{2} - 17 m - 9} - \frac{6 m}{20 m ^{2} - 5}

Cancel

\frac{3 m ^{3} - 27 m ^{2}}{2 m ^{2} - 17 m - 9} : \frac{3 m ^{2}}{2 m + 1}

= \frac{3 m ^{2}}{2 m + 1} - \frac{6 m}{20 m ^{2} - 5}

Simplify

\frac{3 m ^{2}}{2 m + 1} - \frac{6 m}{20 m ^{2} - 5} : \frac{15 m ^{2} ( 2 m - 1 ) - 6 m}{5 ( 2 m + 1 ) ( 2 m - 1 )}

= \frac{15 m ^{2} ( 2 m - 1 ) - 6 m}{5 ( 2 m + 1 ) ( 2 m - 1 )}

Simplify

15 m^{2} (2 m - 1) - 6 m : 30 m^{3} - 15 m^{2} - 6 m

= \frac{30 m ^{3} - 15 m ^{2} - 6 m}{5 ( 2 m + 1 ) ( 2 m - 1 )}

2 5^{1.5}

(x - 1) (x - 2) = 6

(n^{3})^{\frac{2}{5}}

40 + 7 t + \frac{1}{2} (- 9.81) t^{2} = 0 + 29 t + \frac{1}{2} (9.81) t^{2}

b - 4 + 8 b = 19

What is (3m^3-27m^2)/(2m^2-17m-9)-(6m)/(20m^2-5) ?
The solution to (3m^3-27m^2)/(2m^2-17m-9)-(6m)/(20m^2-5) is (30m^3-15m^2-6m)/(5(2m+1)(2m-1))