# Math Help - A partial fraction question..

1. ## Nvm, solved.

Find the partial fraction decomposition of the given rational expression.

1 / x(x-2)(2x-1)

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Nvm, solved.

2. Originally Posted by zuuberbat
Find the partial fraction decomposition of the given rational expression.

1 / x(x-2)(2x-1)

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try the following page for the solution

partial fraction problem

3. $\frac{1}{x(x-2)(2x-1)}=\frac{x-(x-2)}{2x(x-2)(2x-1)}=\frac{1}{2}\left( \frac{1}{(x-2)(2x-1)}-\frac{1}{x(2x-1)} \right),$ and,

$\frac{1}{(x-2)(2x-1)}=-\frac{1}{3}\cdot \frac{2(x-2)-(2x-1)}{(x-2)(2x-1)},$ then do a similar trick for the last one.