SOLUTION: Find the sum. Express the answer in simplest form. -6g^2+9/h^2-2 + 7g^2-6/h^2-2

Algebra ->  Rational-functions -> SOLUTION: Find the sum. Express the answer in simplest form. -6g^2+9/h^2-2 + 7g^2-6/h^2-2      Log On


   

Question 122916: Find the sum. Express the answer in simplest form.
-6g^2+9/h^2-2 + 7g^2-6/h^2-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28-6g%5E2%2B9%29%2F%28h%5E2-2%29%2B%287g%5E2-6%29%2F%28h%5E2-2%29 Start with the given expression



Since the denominators are all equal, we can combine the numerators

%28-6g%5E2%2B9%2B7g%5E2-6%29%2F%28h%5E2-2%29 Combine the numerators and place them over the common denominator


%28g%5E2%2B3%29%2F%28h%5E2-2%29 Combine like terms



So %28-6g%5E2%2B9%29%2F%28h%5E2-2%29%2B%287g%5E2-6%29%2F%28h%5E2-2%29 simplifies to %28g%5E2%2B3%29%2F%28h%5E2-2%29