SOLUTION: (a^2-36)/(x^2-y^2) divided by (a+6)/(y-x)

Algebra ->  Expressions -> SOLUTION: (a^2-36)/(x^2-y^2) divided by (a+6)/(y-x)      Log On


   

Question 1018732: (a^2-36)/(x^2-y^2)
divided by
(a+6)/(y-x)
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%5E2-36%29%2F%28x%5E2-y%5E2%29%22%F7%22%28a%2B6%29%2F%28y-x%29

Change the division to a multiplication by inverting
the second fraction:

%28a%5E2-36%29%2F%28x%5E2-y%5E2%29%22%22%2A%22%22%28y-x%29%2F%28a%2B6%29
Write the right numerator in alphabetical order of terms:

%28a%5E2-36%29%2F%28x%5E2-y%5E2%29%22%22%2A%22%22%28-x%2By%29%2F%28a%2B6%29

Factor the numerator and denominator of the first fraction
and factor out -1 from the numerator of the second fraction:

%28%28a-6%29%28a%2B6%29%29%2F%28%28x-y%29%28x%2By%29%29%22%22%2A%22%22%28-1%28x-y%29%29%2F%28a%2B6%29

Cancel the (a+6)'s

%28%28a-6%29%28cross%28a%2B6%29%29%29%2F%28%28x-y%29%28x%2By%29%29%22%22%2A%22%22%28-1%28x-y%29%29%2F%28cross%28a%2B6%29%29

Cancel the (x-y)'s

%28%28a-6%29%28cross%28a%2B6%29%29%29%2F%28%28cross%28x-y%29%29%28x%2By%29%29%22%22%2A%22%22%28-1%28cross%28x-y%29%29%29%2F%28cross%28a%2B6%29%29

%28%28a-6%29%29%2F%28%28x%2By%29%29%22%22%2A%22%22%28-1%29%2F1

%28-%28a-6%29%29%2F%281%28x%2By%29%29

%28-a%2B6%29%2F%28x%2By%29

To make it one character shorter, write the terms of the
numerator in reverse order:

%286-a%29%2F%28x%2By%29

Edwin