SOLUTION: I really would like some help on the rational addition expression...Thank you for all your help!! n - 2 n^2 + 5n + 10 ----- + ----------- -- n + 4 n

Question 136138: I really would like some help on the rational addition expression...Thank you for all your help!!

n - 2 n^2 + 5n + 10
----- + --------------
n + 4 n + 4
Found 2 solutions by solver91311, vleith:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Notice that the denominators are equal. Therefore you can simply add the numerators directly without having to discover and apply a lowest common denominator.

Since and , the numerator trinomial factors to:

, so the rational expression reduces to:

.

But , so eliminate these factors from numerator and denominator leaving you with:

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Given:
Before one can add fractions, they must have a common denominator. In this problem, each fraction has a denominator of . So, the two fractions can be added in their current form

Now you can collect like terms

factor the numerator

where n!= -4

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