maths
posted by Shane .
In the expansion of (12x)^11 the coefficient of x^3 is k times the coefficient of x^2. Evaluate k.

(12x)^11
= 1 + 11(2x) + 55(2x)^2 + 165(2x)^3 + ...
= 1  22x + 220x^2  1320x^3 + ...
so (220)k = 1320
k = 6
Respond to this Question
Similar Questions

Probability
Roll 3 dice. What is the probability of getting a sum of: A) sum of 7: 15/216 B) sum of 8: 21/216 C) sum of 11: 27/216 D) sum of 12: 25/216 Are these correct? 
Binomal Theorem
1A> What is the coefficient of x^(2r) in the expansion of (1x^2)^n, where n is a positive integer ? 
maths
find the coefficient of 1/x^3 in the expansion of (3x2/x^2)^6 
mathsbinomial theorem
coefficient of x^39 in the expansion of [(1/x^2) + x^4)]^18 
maths
The coefficient of x^2 is 69 in the expansion of (1ax)^24, where a>0. Find the coefficient of x^3. 
physics
The coefficient of apparent expansion of a liquid when determined using two different vessels A and B are gamma1 and gamma2 respectively. If the coefficient of expansion of the vessel A is alpha, the coefficient of linear expansion … 
Finite Math
What is the coefficient of y^14 in the expansion of (x+y)^14? 
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? 
Maths ple
what is the coefficient of a^9b^8 in the expansion of (a+b)^17 
Physics
Material X has a coefficient of linear expansion a = 0.00000271/degree C. What value would you expect its volume coefficient of expansion to be