0606 P22 - Nov 2021 - Q2 - 8 marks
8054
(a) Expand \((2-3x)^4\), evaluating all of the coefficients.
(b) The sum of the first three terms in ascending powers of \(x\) in the expansion of
\((2-3x)^4\left(1+\frac ax\right)\)
is
\(\frac{32}{x}+b+cx,\)
where \(a\), \(b\) and \(c\) are integers. Find the values of \(a\), \(b\) and \(c\).
