1-decompose-F-x-1-x-a-n-x-b-n-witha-b-2-find-the-values-of-k-0-n-1-C-p-k-1-k-2-k-p-k-0-p-1-C-n-k-1-k-2-k-n-

Question Number 50380 by prof Abdo imad last updated on 16/Dec/18

1) d e c o m p o s e F (x) = \frac{1}{{(x - a)}^{n} {(x - b)}^{n}}

w i t h a \neq b

2) f i n d t h e v a l u e s o f \sum_{k = 0}^{n - 1} \frac{C_{p + k - 1}^{k}}{2^{k + p}}

+ \sum_{k = 0}^{p - 1} \frac{C_{n + k - 1}^{k}}{2^{k + n}}