SOLUTION: How would you write this rational expression in lowest terms? a^2-9/18-2a^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How would you write this rational expression in lowest terms? a^2-9/18-2a^2      Log On


   

Question 126295: How would you write this rational expression in lowest terms?
a^2-9/18-2a^2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%5E2-9%29%2F%2818-2a%5E2%29

Start with the fact that -%28x-y%29=%28y-x%29 and re-write the denominator:

%28a%5E2-9%29%2F%28-%282a%5E2-18%29%29

Now factor a 2 out of the denominator:

%28a%5E2-9%29%2F%28-2%28a%5E2-19%29%29

%28a%5E2-9%29%2F%28a%5E2-9%29=1 so you are left with: