What is expand (24x^3+36)/((2x+3)^4) ?

The solution to expand (24x^3+36)/((2x+3)^4) is (24x^3+36)/(16x^4+96x^3+216x^2+216x+81)

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expand (24x^3+36)/((2x+3)^4)

expand

\frac{24 x ^{3} + 36}{( 2 x + 3 ) ^{4}}

\frac{24 x ^{3} + 36}{16 x ^{4} + 96 x ^{3} + 216 x ^{2} + 216 x + 81}

Solution steps

\frac{24 x ^{3} + 36}{( 2 x + 3 ) ^{4}}

(2 x + 3)^{4} = 16 x^{4} + 96 x^{3} + 216 x^{2} + 216 x + 81

= \frac{24 x ^{3} + 36}{16 x ^{4} + 96 x ^{3} + 216 x ^{2} + 216 x + 81}

(10 e - 3 x) 3

1 - x + (x + 1) e^{- 2 x}

\frac{1}{n ( n + 1 ) e ^{n}}

(D x + e) e^{x}

- \frac{4 x ^{3} + 12 x}{( x ^{2} + 1 ) ^{3}}

What is expand (24x^3+36)/((2x+3)^4) ?
The solution to expand (24x^3+36)/((2x+3)^4) is (24x^3+36)/(16x^4+96x^3+216x^2+216x+81)