Math
posted by Chamberlain .
Use the Binomial Theorem to determine the coefficient of x^14 in the
expansion of (3x^2 − 1/ 3)^ 16 . Express the coefficient as a fraction in its
lowest terms.
Please help me with this I'm getting nowhere. And please explain the logic behind! Thanks so much
Respond to this Question
Similar Questions

Binomal Theorem
1A> What is the coefficient of x^(2r) in the expansion of (1x^2)^n, where n is a positive integer ? 
same type of binomial theorem question
Question: Find the first 3 terms in the expansion, in ascending powers of x, of (2 + x)^6. Hence, obtain the coefficient of x^2 in the expansion of (2 + x  x^2)^6 I know the first part of the question, and the first 3 terms are (64 … 
Math  another question
"In the expansion of (2ax)^5 the coefficient of x^2 is 5. Find the value of a". I know I have to use the binomial theorem to help me, but I don't know how. 
Binomial expansion
The coefficient of x^2 in the expansion of (43x)^n as a series of ascending powers of x is 9/64. Show that n satisfies the equation 4^(n+1)=2/[n(1n)] and hence verify that n=1/2. I can do the first part of the problem: 4^n*3^2*n(n1)/2!*2^4=3^2/2^6 … 
Maths
Determine the coefficient of x^5 in the binomial expansion of (23x)^7? 
Integrated Math 1
What is the coefficient of the xy^2 term in the expansion of (3x + y)^3? 
Discrete math
I need to find the coefficient of x^18 y^32 in (x+y)^50. I understand that we have to use the binomial theorem. I know how to find the coefficient for example x^18 but here we have "x" as well as "y" which I have no idea about. 
mathsbinomial theorem
coefficient of x^39 in the expansion of [(1/x^2) + x^4)]^18 
binomial expansion help!!!
in the expansion of (1+x)^(n+1) the coefficient of x^4 is 6k and in the expansion of (1+x)^(n1) the coefficient of x^2 is k.find the value of k and n, for n>2? 
precalculus
Can you check my answers? 1.Use the Binomial Theorem to expand and simplify the expression. (2  3x)3 27x3 + 104x2  36x + 8 27x3 + 54x2  36x + 8 27x3 + 8 27x3 + 54x2  18x + 8 answer:b 2.Find the 5th term in the expansion of