What is expand (3x+4)/(x(2x+1)^2) ?

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

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expand (3x+4)/(x(2x+1)^2)

expand

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

\frac{3 x + 4}{4 x ^{3} + 4 x ^{2} + x}

Solution steps

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

(2 x + 1)^{2} = 4 x^{2} + 4 x + 1

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

Expand

x (4 x^{2} + 4 x + 1) : 4 x^{3} + 4 x^{2} + x

= \frac{3 x + 4}{4 x ^{3} + 4 x ^{2} + x}

(1 + 2 x + 3 x^{2})^{6}

- \frac{( p ( x + y ) - n )}{p ( 1 - p )}

- \frac{x ( - x + 3 ) ^{3}}{27}

(y + y) 2 π

\frac{4 ( b + 2 )}{3}

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