What is a simple proof of this differentiation property?

1. Sep 29, 2015

td21

$$\frac{d^{2n}}{dx^{2n}}\left(x^2-1\right)^n = (2n)!$$

2. Sep 30, 2015

Staff: Mentor

Try using an induction proof:

Step 1 prove for n=1

Step 2 Assume its true for k and the prove its true for k+1