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

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

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

expand

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

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

Solution steps

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

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

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

l imh \Rightarrow 0 (3 + h) 3 - 27 h

2 (3 x - 2 y = 17)

4 x + 1 + 2 x + 7

(3 x + 2 \circ 4 - 5 x) (x)

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

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