SOLUTION: Please can you resolve this into partial fractions {{{x / (x-1)(x^2

SOLUTION: Please can you resolve this into partial fractions {{{x / (x-1)(x^2 - 4)}}} Thanks

Question 15694: Please can you resolve this into partial fractions

Thanks
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
=
Let this be equal to
= =

Since denominators are same , equating the numerators we get
=x
since this is an identity , it is true for any value of x
hence take x=1,and -2 and 2 to get a ,b , c values
for x=1 ,we have
a(1+2)(1-2)=1
a = -1/3 similarly we get b=-2/12=-1/6 and c=2/4 = 1/2
hence
=
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