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Question
Find the middle term (terms) in the expansion of `(p/x + x/p)^9`.
Solution
Since the power of binomial is odd.
Therefore, we have two middle terms which are 5th and 6th terms.
These are given by
T5 = `""^9"C"_4 (p/x)^5 (x/p)^4`
= `""^9"C"_4 p/x`
= `(126p)/x`
And T6 = `""^9"C"_5 (p/x)^4 (x/p)^5`
= `""^9"C"_5 x/p`
= `(126x)/p`
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