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

The solution to expand (x^2*cos(x))/((2x+1)^3) is (x^2cos(x))/(8x^3+12x^2+6x+1)

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

expand

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

\frac{x ^{2} cos ( x )}{8 x ^{3} + 12 x ^{2} + 6 x + 1}

Solution steps

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

(2 x + 1)^{3} = 8 x^{3} + 12 x^{2} + 6 x + 1

= \frac{x ^{2} cos ( x )}{8 x ^{3} + 12 x ^{2} + 6 x + 1}

\int \frac{5 x + 2}{3 x 1 - 3 x} d x

x \to 0 lim (sin (π x))

\int \frac{( in x ) ^{2}}{x} d x

n = 1 \sum \infty \frac{2}{2 n - 1}

\frac{d}{d x} (\frac{1 - 3 x ^{2}}{1 - 2 x})

What is expand (x^2*cos(x))/((2x+1)^3) ?
The solution to expand (x^2*cos(x))/((2x+1)^3) is (x^2cos(x))/(8x^3+12x^2+6x+1)