Question: When (1 + ax) 2 , where a is a positive constant, is expanded in ascending powers of x, the coefficients of x and x

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

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