When (1 ax) 2 , where a is a positive constant, is expanded in ascending powers of x, the coefficients of x and x 3 are equal i Find the exact value of a ii When a has this value, obtain the expansion up to and including the term in x 2 , simplifying the coefficients ...

Lets first expand 1 ax2 using the binomial theorem 1 ax2 1 2ax 232a2x2 23 ...

When (1 + ax) 2 , where a is a positive constant, is expanded in ascending powers

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When (1 + ax)⁻², where a is a positive constant, is expanded in ascending powers of x, the coefficients of x and x³ are equal.

i. Find the exact value of a.

ii. When a has this value, obtain the expansion up to and including the term in x², simplifying the coefficients.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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Question Posted: Apr 05, 2023 11:07 AM

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When (1 + ax) 2 , where a is a positive constant, is expanded in ascending powers

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Lets first expand 1 ax2 using the binomial theorem 1 ax2 1 2ax 232a2x2 23...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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