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

The solution to expand (x+1)/(x^2(x+2)^3) is (x+1)/(x^5+6x^4+12x^3+8x^2)

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

expand

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

\frac{x + 1}{x ^{5} + 6 x ^{4} + 12 x ^{3} + 8 x ^{2}}

Solution steps

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

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

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

Expand

x^{2} (x^{3} + 6 x^{2} + 12 x + 8) : x^{5} + 6 x^{4} + 12 x^{3} + 8 x^{2}

= \frac{x + 1}{x ^{5} + 6 x ^{4} + 12 x ^{3} + 8 x ^{2}}

\frac{1}{s ( s + 15 ) + 50}

, (w^{2} - 5 w - 4) (7 w^{2} - 6 w + 2)

5 (- 2 u + 7 = 25)

\frac{( x + 1 ) ( x )}{10}

- \frac{2 ( 10368 W _{0} - 5 )}{5}

What is expand (x+1)/(x^2(x+2)^3) ?
The solution to expand (x+1)/(x^2(x+2)^3) is (x+1)/(x^5+6x^4+12x^3+8x^2)