a. Expand (2 + x) 6 as a binomial series in ascending powers of x, giving each

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a. Expand (2 + x)6 as a binomial series in ascending powers of x, giving each coefficient as an integer.

b. By making suitable substitutions for x in your answer to part a, show that (2 + √3)6 − (2 − √3)6 can be simplified to the form k√3 , stating the value of the integer k.

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