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## Homework Statement

I have been workin on a mathematical induction question and have run into trouble with the simplification.

## Homework Equations

## The Attempt at a Solution

I know that the solution i am trying to reach is (k+2)!-1

but i do not know where to go from the equation:

(k+1)!-1 + (k+1)(k+1)! could someone please help.