Find a Specific Coefficient in a Single Binomial Expansion

The question asks to find the coefficient of a specified power of x (or a constant term) in the expansion of a single binomial expression like (ax^m + bx^k)^n.

tmua 2018 Q2 1 marks View
Find the value of the constant term in the expansion of
$$\left( x ^ { 6 } - \frac { 1 } { x ^ { 2 } } \right) ^ { 12 }$$
tmua 2020 Q13 1 marks View
Find the coefficient of $x^2y^4$ in the expansion of $(1 + x + y^2)^7$
A $6$
B $10$
C $21$
D $35$
E $105$
F $210$
tmua 2023 Q6 1 marks View
In the simplified expansion of $( 2 + 3 x ) ^ { 12 }$, how many of the terms have a coefficient that is divisible by 12 ?
turkey-yks 2020 Q17 View
Where $m$ and $n$ are integers,
$$\left(x^2 + 2y\right)^7$$
In the expansion of this expression, if one of the terms is $mx^ny^2$, what is the sum $m + n$?
A) 56
B) 64
C) 72
D) 86
E) 94