What is the coefficient of the third term of the expanded polynomial: (y-2x)^4?

Answer 1

The third term will be 4C2·(y)²(-2x)² and its coefficient is 24.

In general, the n+1^st term in the expansion of (x + y)^m is given by mCn(x)^m-n(y)ⁿ.

mCn is the "choose" function, used to count combinations, and is the n+1^st entry in the m^th row of Pascal's Triangle.