This question has me a little confused as I'm not how to how to work with the powers. Answers & methods appreciated:
10. In the binomial expansion of (2k + x) to the power of n, where k is a constant and n is a positive integer, the coefficient of x(squared) is equal to the coefficient of x(cubed).
a. Prove that n = 6k + 2
The binomial expansion for the question is hard to write out on here i'm afraid.
I'm figuring solving the expansion for x(squared) and x(cubed) then putting them equal to each other, working out the answer, then factoring it to give a positive and negative integer, of which only one can be the answer but i'm not sure how that would work if we have a 6k in the 'power' section.
Anyone that can work it out / give it a go may receive rep loving! :d
edit - the binomial theorm is here if anyone needs: clicky
10. In the binomial expansion of (2k + x) to the power of n, where k is a constant and n is a positive integer, the coefficient of x(squared) is equal to the coefficient of x(cubed).
a. Prove that n = 6k + 2
The binomial expansion for the question is hard to write out on here i'm afraid.
I'm figuring solving the expansion for x(squared) and x(cubed) then putting them equal to each other, working out the answer, then factoring it to give a positive and negative integer, of which only one can be the answer but i'm not sure how that would work if we have a 6k in the 'power' section.
Anyone that can work it out / give it a go may receive rep loving! :d
edit - the binomial theorm is here if anyone needs: clicky
