Binomial Theorem

Binomial Theorem

5 marks
  1. Expand \( (2 +x)^4\) and simplify your result.[2]
  2. Hence, find the term in \(x^2\) in \( (2 + x)^4 \left(1 + \frac{1}{x^2} \right) \).[3]

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Answer:(a) \(16+32x+24x^2+8x^3+x^4\) (b) \(25x^2\)

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