Find the middle term in the expansion of (x/3 +9 y)10 - Maths - Binomial Theorem

Question

Find the middle term in the expansion of (x/3 +9 y)10

Ashwini Kumar · Accepted Answer

In the expansion of a+bn, there are n+1 terms
Therefore, in the expansion of x3+9y10, there are 11 terms
Therefore, 6th term will be middle term6th term=10C5x359y5=10×9×8×7×61×2×3×4×5×x5243×81×243×y5=9×4×7×x51×81×y5=20412x5y5