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Popular >

expand 1/(z(1-z)^3)

Solution

expand

\frac{1}{z ( 1 - z ) ^{3}}

Solution

\frac{1}{z - 3 z ^{2} + 3 z ^{3} - z ^{4}}

Solution steps

\frac{1}{z ( 1 - z ) ^{3}}

(1 - z)^{3} = 1 - 3 z + 3 z^{2} - z^{3}

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

Expand

z (1 - 3 z + 3 z^{2} - z^{3}) : z - 3 z^{2} + 3 z^{3} - z^{4}

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

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Frequently Asked Questions (FAQ)

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