2025 PHS PRELIMS P1 Q5

2025 PHS PRELIMS P1 Q5

Secondary 4
6 marks
2025 Presbyterian High School Prelims A Math Paper 1
  1. Write down and simplify the first three terms in the expansion, in descending powers of \(x\), of \(\left(2-\frac{3}{x}\right)^8\).[2]
  2. Given that there is no \(x\) term in the expansion of \(\left(1-2x-kx^2\right)\left(2-\frac{3}{x}\right)^8\), find the constant term in the expansion.[4]

Solution:

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Answer:(a) \(256-\frac{3072}{x}+\frac{16128}{x^2}\) (b) \(3712\)

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