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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

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

Expand

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

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

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Frequently Asked Questions (FAQ)

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