SOLUTION: Determine the first three terms in the binomial expansion of (x-2y)^12

Question 1139069: Determine the first three terms in the binomial expansion of (x-2y)^12
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
(x-2y)^12
:
The powers on each term in the expansion always add up to 12, and that the terms counted up from zero to 12. Note nCk = n!/(k! * (n-k)!)
:
The first three terms are
:
12C0(x)^(12 - 0)( - 2y)^0 + 12C1(x)^(12-1)( - 2y)^1 + 12C2(x)^(12-2)( - 2y)^2 =
:
x^12 -24(x)^11(y) +264(x)^10(y)^2
:

RELATED QUESTIONS
(Use the Binomial Theorem to write out and simplify all terms in the expansion of... (answered by checkley75)

Determine the coefficient of x^4y^2 in the binomial expansion of... (answered by MathLover1)

Find the fifth term in the binomial expansion of... (answered by MathLover1)

Hello I have 3 questions that are all related and I would greatly appreciate it if... (answered by fractalier)

Write and simplify the first four terms of the expansion of (x -... (answered by MathTherapy)

Please help me find the first three terms in this expansion:... (answered by stanbon)

Write the first four terms in the expansion of each of the following.... (answered by edjones)

determine the coefficient of x^9 y^4 in the binomial expansion of (x + y)^13... (answered by MathLover1,MathTherapy,greenestamps)

Use the Binomial Theorem to find the coefficient of x^0 in the expansion of... (answered by greenestamps)