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Question

Does the expansion of 2x2-1x contain any term involving x9?


Solution

Suppose x9 occurs in the given expression at the (r + 1)th term.
Then, we have:
Tr+1=Cr20 (2x2)20-r -1xr=(-1)r  Cr20220-r x40-2r-rFor this term to contain x9, we must have40-3r=93r=31r=313 It is not possible, as r is not an integer.

Hence, there is no term with x9 in the given expression.

Mathematics
RD Sharma XI (2015)
Standard XI

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