9709 P32 - Mar 2026 - Q4
4327
The coefficient of \(x^3\) in the expansion of \((1-ax)^{\frac25}\) is \(1\).
(a) Find the value of \(a\).
(b) Hence, find the coefficient of \(x^4\) in the expansion of \((2x+1)(1-ax)^{\frac25}\).
(c) State the set of values of \(x\) for which the expansion in 4(b) is valid.
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