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CAIE A Level Mathematics 9709 · Algebra

Algebra: calculation question

3 marksStandard

Find the coefficient of x2x^2 in the expansion of (1+2x)12(1 + 2x)^{\frac{1}{2}}, where 22 is a positive integer, given that the expansion is valid for ∣2x∣<1|2x| < 1.

  1. (a)

    Find the coefficient of x2x^2 in the expansion of (1+2x)12(1 + 2x)^{\frac{1}{2}}.

    [3]

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