Expand x^(k+1)/(k+1) - (x-1)^(k+1)/(k+1)

[nmego12345]

Homework Statement

Expand x^(k+1)/(k+1) - (x-1)^(k+1)/(k+1)

Homework Equations

(a+b)^m = a^m + ma^{m - 1}b + (mℂ2)a^{m - 2}b² + ... + b^m[/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

 

[haruspex]

Homework Statement

Expand x^(k+1)/(k+1) - (x-1)^(k+1)/(k+1)

Homework Equations

(a+b)^m = a^m + ma^{m - 1}b + (mℂ2)a^{m - 2}b² + ... + b^m[/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

Looks right. Might be better to write it as a sum over an index, i.e. using Σ.