This interactive page is intended to demonstrate the induction proof of the Binomial Theorem namely: \[(x+y)^n=\sum_{r=0}^n {n\choose r}x^ry^{n-r}.\] Either click on a binomial coefficient in the displayed Pascal Triangle or choose \(n\) and \(r\) from the drop down lists. Pressing the button "Show" successively will show the inductive step for that case.

Please be patient with the Maths display. It is slow to download.