2025 IGCSE Additional Mathematics May/June 0606/21 Q6

2025 IGCSE Additional Mathematics May/June 0606/21 Q6

6 marks
  1. Using an appropriate quadratic factorisation, find the first three terms in the binomial expansion of \((9x^2+12x+4)^5\), in ascending powers of \(x\).
    You must simplify your coefficients.[4]
  2. Find the term independent of \(x\) in the expansion of \(\left(\dfrac6{x^2}+\dfrac{x^4}2\right)^{12}\).[2]

Solution:

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Answer:(a) \(1024+15360x+103680x^2\) (b) \(51963120\)

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