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2026 ZHSS P1 Q7
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2026 ZHSS P1 Q7
Secondary 4
7 marks
Find the first 4 terms in the expansion of \(\left(2-\dfrac{ax}{4}\right)^5\) in ascending powers of \(x\), simplifying each term.
[4]
Given that there is no term in \(x\) in the expansion of \((5-2x)\left(2-\dfrac{ax}{4}\right)^5\), find the value of the constant \(a\).
[3]
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Answer:
(a) \(32-20ax+5a^2x^2-\dfrac58a^3x^3\) (b) \(a=-\dfrac{16}{25}\)
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