SOLUTION: (q^2-q-1/q^3)-(2q^2+2q-1/q^3) I keep coming up with -x+3/x^2 then I tried again and came up with -x-3/X^2 Can you please explain this one to me

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (q^2-q-1/q^3)-(2q^2+2q-1/q^3) I keep coming up with -x+3/x^2 then I tried again and came up with -x-3/X^2 Can you please explain this one to me       Log On


   

Question 676612: (q^2-q-1/q^3)-(2q^2+2q-1/q^3)
I keep coming up with -x+3/x^2 then I tried again and came up with -x-3/X^2
Can you please explain this one to me
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28q%5E2-q-1%29%2Fq%5E3-%282q%5E2%2B2q-1%29%2Fq%5E3
:
They have the same denominators, so you can write it
%28%28q%5E2-q-1%29-%282q%5E2%2B2q-1%29%29%2Fq%5E3
Removing the brackets changes the signs after the minus
%28%28q%5E2-q-1-2q%5E2-2q%2B1%29%29%2Fq%5E3
Group and combine like terms
%28%28q%5E2-2q%5E2-q-2q-1%2B1%29%29%2Fq%5E3 = %28%28-q%5E2-3q%29%29%2Fq%5E3
Factor out -q, cancel
%28-q%28q-3%29%29%2Fq%5E3 = -%28q%2B3%29%2Fq%5E2, essentially the same as %28-q-3%29%2Fq%5E2 which you had