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Simplify the expression $\frac{\left(\frac{1}{a+b}+\frac{2b}{a^2-b^2}\right)\left(\frac{a}{a-b}+\frac{3a}{a+b}+\frac{-3a}{a+b}+\frac{-2ab}{a^2-b^2}\right)}{\frac{4a}{b}+\frac{-\left(a-b\right)}{a+b}+\frac{a+b}{a-b}}$

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Main Topic: Polynomial long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.

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