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O-LevelAdditional MathematicsSeries4037/22 · May/June 2021 · Q12 Marks

Using the binomial theorem, expand (1+e2x)4, simplifying each term.

  1. Using the binomial theorem, expand (1+e2x)4, simplifying each term.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. B2 mark final answer for B2
  2. B1 for any 3 correct simplified terms in a sum or all 5 simplified terms listed but not summed or for a correct, simplified expansion that is not their final answer
  3. or M1 for a correct unsimplified expansion e.g. 1+4e2x + (4×3/2)(e2x)² + (4×3×2/6)(e2x)³ + (e2x)⁴
  4. If 0 scored, SC1 for a complete, correct, simplified expansion as final answer found by multiplying out the brackets

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About this question

Topic
Series, O-Level Additional Mathematics (syllabus 4037). Structured question, 2 marks.
Source
O-Level Additional Mathematics, May/June 2021 Paper 2 Variant 2, question 1.

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