Concept explainers
Write the partial fraction decomposition of each rational expression.
Answer to Problem 59RE
Explanation of Solution
Given information:
Write the partial fraction decomposition of each rational expression.
Calculation:
The denominator is already in factored from and it contains only non repeated linear factors.
We can decompose the given expression according to the equation,
So,
To find
This equation is an identify in
Equate the constants.
We get the system of equations as
Substitute
Substitute
Hence, the partial fraction decomposition of
For checking the decomposition, add the rational expression.
Hence, the partial fraction decomposition is
Chapter 11 Solutions
Precalculus
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