SOLUTION: 3a^2/a-b minus 3b^2-6ab/b-a

Algebra ->  Radicals -> SOLUTION: 3a^2/a-b minus 3b^2-6ab/b-a      Log On


   



Question 290613: 3a^2/a-b minus 3b^2-6ab/b-a
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3a%5E2%2F%28a-b%29 - %283b%5E2-6ab%29%2F%28b-a%29
Factor out -1 to make the denominators the same
3a%5E2%2F%28a-b%29 - %28%283b%5E2-6ab%29%29%2F%28-1%28a-b%29%29
the minus one changes the sign
3a%5E2%2F%28a-b%29 + %28%283b%5E2-6ab%29%29%2F%28%28a-b%29%29
Factor out 3
%283a%5E2%2B3b%5E2-6ab%29%2F%28a-b%29 = %283%28a%5E2%2Bb%5E2-2ab%29%29%2F%28a-b%29
Can be written
%283%28a%5E2-2ab%2Bb%5E2%29%29%2F%28a-b%29
Factor and cancel
%283%28a-b%29%28a-b%29%29%2F%28a-b%29 = 3(a-b)