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Question -

Find the coefficient of a5b7 in(a – 2b)12



Answer -

It is known that (+1)th term, (Tr+1), in the binomialexpansion of (b)n is givenby .

Assuming that a5b7 occursin the (r + 1)th term of the expansion (a –2b)12, we obtain

Comparing the indices of a and b in a5 bandin Tr +1, we obtain

r = 7

Thus, the coefficient of a5b7 is 

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