a Expand (1 x) 3 b Use your answer to part a to express i (1 5 ) 3 in the form a b5 ii (1 5 ) 3 in the form c d5 c Use your answers to part b to simplify (1 5) 3 (1 5) 3 ...

a Using the binomial theorem we can expand 1 x3 as foll ...

a. Expand (1 + x) 3 . b. Use your answer to part a to express: i.

Question:

a. Expand (1 + x)³.
b. Use your answer to part a to express:
i. (1 + √5 )³ in the form a + b√5
ii. (1 − √5 )³ in the form c + d√5.

c. Use your answers to part b to simplify (1 + √5)³ + (1 − √5)³.

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 10, 2023 06:35 AM

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a. Expand (3 + x) 4 . b. Use your answer to part a to express (3 + 5) 4 in the form a + b5.
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a. Expand (1 + x) 3 . b. Use your answer to part a to express: i.

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a Using the binomial theorem we can expand 1 x3 as foll...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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