Find the term with the largest binomial coefficient in the expansion of (x + 2Y) 9 power Need a complete process!

The general term of the expansion is C (I, 9) * a ^ (9-i) * (2Y) ^ I, so the coefficient is C (I, 9) * 2 ^ I. because n = 9, it is obvious that the term with the largest coefficient should be the fifth and sixth terms, that is, when I = 4 or 5, there is a
C（i,9）*2^i=C（4,9）*2^i=9!/[4!*(9-4)!]*2^4=2016
Note: C (I, 9) is the combination number of I out of 9 numbers

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