SOLUTION: Decomposing fractions into partial fraction x-2 /(x+2)^2(x-4)

Question 1180207: Decomposing fractions into partial fraction
x-2 /(x+2)^2(x-4)
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

By basic rules for decomposing fractions, the decomposition is of the form

Multiply by the least common denominator:

Equate the coefficients on the two sides of the equation:

(1)
(2)
(3)

Solve (1) to get C=-A and substitute in (2) and (3).

(4)
(5)

Eliminate A...

ANSWER:

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