How can I prove this algebraically? For integers n>r> 0, use the definition of the factorial function to prove that(n − 1)!(n − 1)!-n!+(r − 1)!(n − r)!r!(n − r − 1)!¯¯¯r!(n = r)!*

By the definition of factorial function, the factorial of a non-negative integer n, denoted by n!,…

Answered: For integers n>r> 0, use the definition…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For integers n>r> 0, use the definition of the factorial function to prove that (n − 1)! (n − 1)! n! - + (r − 1)!(n − r)! ™r!(n − r − 1)! ¯r!(n − r)!* =