Precalculus 2014
41

 PAGE: 403 SET: Exercises PROBLEM: 41

The partial fraction of decomposition rational expression is .

Rewrite the expression into partial fraction.

Find the values of , , and .

Multiple each side by the denominator fraction.

.

.

Equate the coefficient of , , and constants.

, and .

, and

Substitute in .

Substitute and  in .

Substitute in and

Substitute in .

Substitute and  in .

Substitute the in  , , .

, and .

Substitute the , , and   values in equation .

The partial fraction is

.

The partial fraction is .

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