Simplifying Factorials: How to Simplify 2n+2!?

  • Thread starter xXOfNiRXx
  • Start date
  • Tags
    Simplify
In summary, the difference between 2n! and (2n)! is that the first is 2 multiplied by every number from 1 to n, while the second is 2n multiplied by every number from 1 to 2n. To simplify 2n + 2!, it should be written as (2n + 2)*(2n + 1)*(2n)!. It is important to use parentheses to avoid confusion.
  • #1
xXOfNiRXx
13
0
Just a quick question. I'm having problems with factorials. For example, how do you simplify 2n+2!? Is it 2n!*2n+1!?

Thanks everybody!
 
Physics news on Phys.org
  • #2


Strictly speaking, 2n + 2! would be just 2n + 2, since 2! = 2. You probably meant (2n + 2)!, which is (2n + 2)*(2n + 1)*(2n)!.

Edit: added a missing factor in the above.


Note that 2n! is different from (2n)!. The first is 2(n*(n-1)*(n-2)*...*2*1). The second is 2n*(2n-1)*(2n-2)*...*2*1.

You should get into the habit of using parentheses...
 
Last edited:
  • #3


Mark44 said:
You probably meant (2n + 2)!, which is (2n + 1)*(2n)!.
Actually, it's (2n+2)*(2n+1)*(2n)!, but I'm sure you knew that.
 
  • #4


Yeah, knew that, but didn't manage to write it.
I edited my earlier post.
 

FAQ: Simplifying Factorials: How to Simplify 2n+2!?

How do you simplify 2n+2?

To simplify 2n+2, you can distribute the 2 to both terms inside the parentheses, resulting in 2n+4. This is the simplest form of the expression.

Can you combine the terms 2n and 2 in 2n+2?

No, the terms 2n and 2 cannot be combined because they have different variables (n and no variable, respectively).

What is the purpose of simplifying an expression?

The purpose of simplifying an expression is to make it easier to understand and work with. It also allows for easier comparison and computation with other expressions.

How do you know when an expression is simplified?

An expression is considered simplified when it is in its most basic form and cannot be further reduced or simplified.

Are there any rules to follow when simplifying an expression?

Yes, there are a few rules to follow when simplifying an expression, such as combining like terms, using the distributive property, and following the order of operations.

Similar threads

Replies
10
Views
1K
Replies
14
Views
1K
Replies
12
Views
2K
Replies
6
Views
2K
Replies
12
Views
2K
Replies
2
Views
2K
Back
Top