Question

10th term of (x+2y)^12

Answer 1

you can use binomial expansio, the formula is
\[(a+b)^{n} = \sum_{k=0}^{n} nCk a ^{n-k}b ^{k}\]
and to find the tenth term, using the number 9 (replace number "k" with 9)
\[(12C9) (x ^{12-9})(2y)^{9}\]

Answer 2

if you want to find the fifth term --> replace number k with 4
to find fourth term --> replace with 3, etc