SOLUTION: Could anyone shorten this problem for me. It's a page long! Fraction expression: {{{1/(x^2-x-2) - x/(x^2-5x+6)}}} The answer is {{{-(x^2+3)/((x-2)(x+1)(x-3))}}} I worked it b

Algebra ->  Expressions-with-variables -> SOLUTION: Could anyone shorten this problem for me. It's a page long! Fraction expression: {{{1/(x^2-x-2) - x/(x^2-5x+6)}}} The answer is {{{-(x^2+3)/((x-2)(x+1)(x-3))}}} I worked it b      Log On


   

Question 84473: Could anyone shorten this problem for me. It's a page long!
Fraction expression: 1%2F%28x%5E2-x-2%29+-+x%2F%28x%5E2-5x%2B6%29
The answer is -%28x%5E2%2B3%29%2F%28%28x-2%29%28x%2B1%29%28x-3%29%29
I worked it but I think I may have put useless steps inside. Thanks! :-)
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Could anyone shorten this problem for me. It's a page long!
Fraction expression: 1%2F%28x%5E2-x-2%29+-+x%2F%28x%5E2-5x%2B6%29
The answer is -%28x%5E2%2B3%29%2F%28%28x-2%29%28x%2B1%29%28x-3%29%29
I worked it but I think I may have put useless steps inside. Thanks! :-)
1%2F%28x%5E2-x-2%29 - x%2F%28x%5E2-5x%2B6%29
1%2F%28x-2%29%28x%2B1%29 - x%2F%28%28x-2%29%28x-3%29%29 so LCD+=+%28x-2%29%28x%2B1%29%28x-3%29
1%2F%28x-2%29%28x%2B1%29%28x-3%29%2F%28x-3%29 - x%2F%28%28x-2%29%28x-3%29%29%28x%2B1%29%2F%28x%2B1%29
%28x-3%29%2FLCD - %28x%28x%2B1%29%29%2FLCD
%28%28x-3%29-x%28x%2B1%29%29%2FLCD
%28x-3-x%5E2-x%29%2FLCD
%28-x%5E2-3%29%2FLCD
-%28x%5E2%2B3%29%2F%28%28x-2%29%28x%2B1%29%28x-3%29%29
Edwin