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

The solution to expand (2x+1)/((x^2+x)^3) is (2x+1)/(x^6+3x^5+3x^4+x^3)

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

expand

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

\frac{2 x + 1}{x ^{6} + 3 x ^{5} + 3 x ^{4} + x ^{3}}

Solution steps

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

(x^{2} + x)^{3} = x^{6} + 3 x^{5} + 3 x^{4} + x^{3}

= \frac{2 x + 1}{x ^{6} + 3 x ^{5} + 3 x ^{4} + x ^{3}}

\frac{2 ( 1 + ln ( x ) )}{x}

(\frac{- 4 α ^{2} + 4 α β}{β ^{2}})^{2}

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

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

\frac{x ^{3} + ( k - 3 ) x ^{2} + ( k + 4 ) x - 6 k}{( x - 3 )}

What is expand (2x+1)/((x^2+x)^3) ?
The solution to expand (2x+1)/((x^2+x)^3) is (2x+1)/(x^6+3x^5+3x^4+x^3)