2024 IGCSE Additional Mathematics October/November 0606/12 Q6

2024 IGCSE Additional Mathematics October/November 0606/12 Q6

5 marks
  1. Find, in descending powers of \(x\), the first 3 terms in the expansion of \(\left(x+\dfrac2{x^2}\right)^{10}\). Simplify each term as far as possible.[3]
  2. Find the term independent of \(x\) in the expansion of \(\left(4x^2+\dfrac1{2x^2}\right)^8\).[2]

Solution:

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Answer:(a) \(x^{10}+20x^7+180x^4\). (b) \(1120\).

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