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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{e ^{(- 2 + i) t} + e ^{(- 2 - i) t}}{2}

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

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

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

(1 + cos^{2} (x)) (tan (x))

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