Simplifying Factorials: Proving (n+1)(n+1)!+(n+1)! =(n+2)!

[hammonjj]

Homework Statement

(n+1)(n+1)!+(n+1)! =(n+2)! simplify

The Attempt at a Solution

I need to know how to simplify this to show it is true. I know that the above statement is true, but I do not understand how to simplify the left hand side to show it.

Thanks, I really have no idea where to begin and, frankly, it's kind of embarrassing as this is for a discrete math class :(

Thanks!

 

[th4450]

Factorize LHS then you will get [(n+1)!][(n+1)+1]

 

[SammyS]

Homework Statement

(n+1)(n+1)!+(n+1)! =(n+2)! simplify

The Attempt at a Solution

I need to know how to simplify this to show it is true. I know that the above statement is true, but I do not understand how to simplify the left hand side to show it.

Thanks, I really have no idea where to begin and, frankly, it's kind of embarrassing as this is for a discrete math class :(

Thanks!

What is (n+1)x + x ?