SOLUTION: can someone explain how to do this problem so i can do the rest? (x+1)+(x^2+x)= ?

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Question 419332: can someone explain how to do this problem so i can do the rest?
(x+1)+(x^2+x)= ?
Answer by duckness73(47) About Me  (Show Source):
You can put this solution on YOUR website!
My guess is that you are trying to completely factor this expression. If that is the case, then let's look at using a "grouping" technique for factoring.
%28x+%2B+1%29+%2B+%28x%5E2+%2B+x%29 Note that the last expression has a common factor of x which can be factored out leaving:
(x + 1) + x(x + 1)
Note, now there is a common factor of (x + 1) in both terms. We can factor that out leaving:
(x + 1)(1 + x)
Rearranging the terms in the second factor (which you can do because addition is commutative), we have (x + 1)(x + 1) = %28x+%2B+1%29%5E2