The discussion focuses on expanding the expression x^(k+1)/(k+1) - (x-1)^(k+1)/(k+1) using the binomial theorem. The relevant equation provided is (a+b)^m = a^m + m a^(m-1)b + (mC2)a^(m-2)b^2 + ... + b^m. Participants confirm the correctness of the initial solution and suggest representing the expansion as a summation using the sigma notation (Σ) for clarity and conciseness.
PREREQUISITESStudents studying algebra, mathematics educators, and anyone looking to deepen their understanding of polynomial expansions and binomial coefficients.
Looks right. Might be better to write it as a sum over an index, i.e. using Σ.nmego12345 said:Homework Statement
Expand x(k+1)/(k+1) - (x-1)(k+1)/(k+1)
Homework Equations
(a+b)m = am + mam - 1b + (mℂ2)am - 2b2 + ... + bm[/B]
The Attempt at a Solution
Here is my solution, I would like to know if it's correct or not
I have the solution in an attached image