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

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

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

expand

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

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

Solution steps

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

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

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

Expand

x^{2} (x^{3} + 3 x^{2} + 3 x + 1) : x^{5} + 3 x^{4} + 3 x^{3} + x^{2}

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

3 c + 6

(x - 3) (x = + 2)

7 (7 a - 14 = 7 (8 a + 2))

y (- 1 - y^{2} + C = (x + C))

(3 x + 2) (7 x - 1)^{'}

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