SOLUTION: Determine the no. of terms in the expansion (2x^2-(1/4x))^12. I got 13, by using the binomial theorem. Is there a way that I don't need to expand till the end?

SOLUTION: Determine the no. of terms in the expansion (2x^2-(1/4x))^12. I got 13, by using the binomial theorem. Is there a way that I don't need to expand till the end?

Algebra.Com

Question 386793: Determine the no. of terms in the expansion (2x^2-(1/4x))^12.
I got 13, by using the binomial theorem. Is there a way that I don't need to expand till the end?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
No, there's no shortcut.
You could factor out .
So then

Which would simplify some of the terms, maybe.
RELATED QUESTIONS
Hello I have 3 questions that are all related and I would greatly appreciate it if... (answered by fractalier)

Determine the coefficient of x� in the binomial expansion of (1+x)⁴ ? could I be (answered by stanbon)

Determine the coefficent of the term containing a^5 in the expansion of (a - 1/a)^5 (answered by stanbon)

Determine the constant term in the expansion of (2x-2/5x^2)^8. I am doing this math... (answered by Edwin McCravy)

find the fourth term in the expansion of (A + 2B)^10 using the binomial... (answered by stanbon)

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

Determine the first three terms in the binomial expansion of... (answered by rothauserc)

Hi, I am resubmitting this question, as it might be confusing. Determine the constant... (answered by psbhowmick)

Find the dimensions of a right triangle if the area is 48 and one leg is 4 less than... (answered by MathLover1)