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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a To expand 2 x6 as a binomial series we can use the binomial theorem The general term of the binomial series is given by Cn r anr br where n is the p...View the full answer
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Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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