Assembling and Disassembling Partial Fractions The following expression is a partial fraction decomposition: $$ \frac{2}{x-1}+\frac{1}{(x-1)^{2}}+\frac{1}{x+1} $$ Use a common denominator to combine the terms into one fraction. Then use the techniques of this section to find its partial fraction decomposition. Did you get back the original expression?
Added by Jorge G.
Step 1
The common denominator will be the least common multiple (LCM) of the denominators, which is $(x-1)^2(x+1)$. Now, we rewrite each fraction with the common denominator: $$ \frac{2}{x-1} \cdot \frac{(x-1)(x+1)}{(x-1)(x+1)} = Show more…
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