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Question

Find the middle term of (ax+xa)10.

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Solution

The expansion of (1+x)n has n+1 terms,
6th term will be the middle term in the expansion
We know that the rth term in expansion of (a+x)n is given by nCr1an+1rxr1
6th term in the expansion of (ax+xa)10 is the middle term which equals 10C5(ax)5(xa)5=252

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