[Partial Fraction] Squared Denominator

Mar 2010
71
2

How do I expand this?
 
Jun 2009
806
275
{3x}/{(3-2x)^{2} = {A}/(3-2x) + {B}/{(3-2x)^{2}

3x = A(3-2x) + B

Compare the3 coefficients to find A and B.
 
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Mar 2010
71
2
\(\displaystyle \frac{3x}{(3-2x)^2}\) = \(\displaystyle \frac{A}{3-2x}+\frac{B}{(3-2x)^2}\)

3x = A(3-2x) + B

Compare the3 coefficients to find A and B.
Thanks, got it.