What is expand (18x^2+3x+6)/((3x+1)^3) ?

The solution to expand (18x^2+3x+6)/((3x+1)^3) is (18x^2+3x+6)/(27x^3+27x^2+9x+1)

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expand (18x^2+3x+6)/((3x+1)^3)

expand

\frac{18 x ^{2} + 3 x + 6}{( 3 x + 1 ) ^{3}}

\frac{18 x ^{2} + 3 x + 6}{27 x ^{3} + 27 x ^{2} + 9 x + 1}

Solution steps

\frac{18 x ^{2} + 3 x + 6}{( 3 x + 1 ) ^{3}}

(3 x + 1)^{3} = 27 x^{3} + 27 x^{2} + 9 x + 1

= \frac{18 x ^{2} + 3 x + 6}{27 x ^{3} + 27 x ^{2} + 9 x + 1}

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\frac{( 2 - 2 e ^{- 2 s} )}{s ^{3} ( s ^{2} + 1 )}

e^{x} sin (x) (e^{x} cos (x) - e^{x} sin (x))

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What is expand (18x^2+3x+6)/((3x+1)^3) ?
The solution to expand (18x^2+3x+6)/((3x+1)^3) is (18x^2+3x+6)/(27x^3+27x^2+9x+1)