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| PAGE: 697 | SET: Exercises | PROBLEM: 56 |
The rational expression is 
.
In the above expression is proper and its denominator 
, m = 2.
The form of decomposition of expression is 
.
(Write form of decomposition)
(Multiply each side by 
)
(Apply rule of exponents)
Equating coefficient of like terms 
on opposite sides of the equation, produces the following system of linear equations.
(Write equation 1)
(Write equation 2)
(Write equation 3)
(Write equation 4)
The value of 
substitute in third equation to obtain 
.
The value of 
substitute in third equation to obtain 
.
So, the partial fraction decomposition is 
.
The partial fraction decomposition is 
.
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