Further Partial Fractions Flashcards

1
Q

x-8/(x+1)(x-2)2 =

A

write as a partial fraction

A/(x+1) + B(x-2) + C/(x-2)2

x-8=A(x-2)2 +B(x+1)(x-2) +C(x+1)

A=-1, C=-2 to find B do x=3, B=1

=-1/x+1 + 1/x-2 - 2/(x-2)2

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