a i Use the Binomial Theorem to expand (a b) 4 , giving each term in its simplest form ii Hence find the term independent of x in the expansion of (2x 1 5x) 4 b The coefficient of x 3 in the expansion of (1 x 2) n equals 5n 12 Find the value of the positive integers n ...

a i a b4 a4 4a3b 6a2b2 4ab3 b4 ii 2x 15x4 10x2 24 104 x8 4103 x7 6102 x ...

a. i. Use the Binomial Theorem to expand (a + b) 4 , giving each term in

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a. i. Use the Binomial Theorem to expand (a + b)⁴, giving each term in its simplest form.

ii. Hence find the term independent of x in the expansion of (2x + 1/5x)⁴.

b. The coefficient of x³ in the expansion of (1 + x/2)ⁿ equals 5n/12. Find the value of the positive integers n.

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

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Authors: Sue Pemberton

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a. i. Use the Binomial Theorem to expand (a + b) 4 , giving each term in

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

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