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# Expanding Partial Fractions watch

1. given that 3x+4 / (1+x)(2+x)^2 = A/(1+X) + B/(2+X) + C/(2+X)^2

a) find A,B and C

i've done this part and found A=1 B=-1 AND C=2

part b) hence or otherwise expand 3x+4 / (1+x)(2+x)^2, in ascending powers of x up to the x^2 term

how is this done? Any help is much appreciated.
2. Binomial expansion of the partial fractions.
3. (Original post by rayman198)
given that 3x+4 / (1+x)(2+x)^2 = A/(1+X) + B/(2+X) + C/(2+X)^2
how is this done? Any help is much appreciated.
3x+4 / (1+x)(2+x)^2
= 1/(1+x) - 1/(2+x) + 2/(2+x)^2
= (1+x)-1 - (2+x)-1 + 2(2+x)-2

Expand all bracketed terms binomially upto x^2 for each bracket.

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Updated: June 11, 2006
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