SOLUTION: sum of rational expressions. i tried breaking the question down but i get lost. THE QUESTION: a 2 _____ + _______ (a^2+2a+1) (a^2+6a+5)

Algebra ->  Rational-functions -> SOLUTION: sum of rational expressions. i tried breaking the question down but i get lost. THE QUESTION: a 2 _____ + _______ (a^2+2a+1) (a^2+6a+5)      Log On


   



Question 321005: sum of rational expressions.
i tried breaking the question down but i get lost.
THE QUESTION:
a 2
_____ + _______
(a^2+2a+1) (a^2+6a+5)

Found 2 solutions by Fombitz, JBarnum:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2%2B2a%2B1=%28a%2B1%29%5E2
a%5E2%2B6a%2B5=%28a%2B1%29%28a%2B5%29
.
.
.
A common denominator would be %28a%2B1%29%5E2%28a%2B5%29,




Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%2F%28a%5E2%2B2a%2B1%29%29%2B%282%2F%28a%5E2%2B6a%2B5%29%29
%28a%2F%28%28a%2B1%29%28a%2B1%29%29%29%2B%282%2F%28%28a%2B1%29%28a%2B5%29%29%29 multiply by a 1%2F1 that creates the same denominator for both fractions

%28%28%28a%5E2%2B5a%29%2B%282a%2B2%29%29%2F%28%28a%2B1%29%28a%2B1%29%28a%2B5%29%29%29
highlight%28%28a%5E2%2B7a%2B2%29%2F%28%28a%2B1%29%28a%2B1%29%28a%2B5%29%29%29