SOLUTION: write in simplest form. x^2-15x+54 / x^2-36 thank you for the help in advance!

Algebra ->  Expressions-with-variables -> SOLUTION: write in simplest form. x^2-15x+54 / x^2-36 thank you for the help in advance!      Log On


   

Question 120642: write in simplest form. x^2-15x+54 / x^2-36 thank you for the help in advance!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2-15x%2B54%29%2F%28x%5E2-36%29 Start with the given expression

%28%28x-9%29%28x-6%29%29%2F%28x%5E2-36%29 Factor x%5E2-15x%2B54 to get %28x-9%29%28x-6%29

%28%28x-9%29%28x-6%29%29%2F%28%28x%2B6%29%28x-6%29%29 Factor x%5E2-36 to get %28x%2B6%29%28x-6%29



%28x-9%29cross%28%28x-6%29%29%2F%28x%2B6%29cross%28%28x-6%29%29 Cancel like terms


%28x-9%29%2F%28x%2B6%29 Simplify


--------------------------------------------------
Answer:

So %28x%5E2-15x%2B54%29%2F%28x%5E2-36%29 simplifies to %28x-9%29%2F%28x%2B6%29. In other words %28x%5E2-15x%2B54%29%2F%28x%5E2-36%29=%28x-9%29%2F%28x%2B6%29