SOLUTION: I wonder if you would be so kind to help me with this problem? {{(3a+6/2a+2}*(a^2-a-2/a^2-4)}} Thank you in advance!!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I wonder if you would be so kind to help me with this problem? {{(3a+6/2a+2}*(a^2-a-2/a^2-4)}} Thank you in advance!!      Log On


   

Question 90028: I wonder if you would be so kind to help me with this problem?
{{(3a+6/2a+2}*(a^2-a-2/a^2-4)}}
Thank you in advance!!
Answer by yannick(6) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283a%2B6%29%2F%282a%2B2%29%29%2A%28%28a%5E2-a-2%29%2F%28a%5E2-4%29%29
1- We're gonna start by factorising the first part
%28%283a%2B6%29%2F%282a%2B2%29%29=%283%28a%2B2%29%2F2%28a%2B1%29%29
2- Let factorise the second part,
%28a%5E2-a-2%29=%28a%2B1%29%28a-2%29
%28a%5E2-4%29=%28a%2B2%29%28a-2%29
and so, %28a%2B1%29%28a-2%29%2F%28a%2B2%29%28a-2%29+=+%28a%2B1%29%2F%28a%2B2%29
whence,
3%28a%2B2%29%2F2%28a%2B1%29%2A%28a%2B1%29%2F%28a%2B2%29+=+3%2F2