a. Expand (3 + 2x) 4 in ascending powers of x, giving each coefficient as an integer.
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a. Expand (3 + 2x)4 in ascending powers of x, giving each coefficient as an integer.
b. Hence, or otherwise, write down the expansion of (3 − 2x)4 in ascending powers of x.
c. Hence by choosing a suitable value for x show that (3 + 2 √2)4 + ( 3 − 2√2)4 is an integer and state its value.
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a To expand 3 2x4 we can use the binomial expansion formula 3 2x4 4C0 34 2x0 4C1 33 2x1 4C2 32 2x2 4...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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