SOLUTION: b^2-a^2/a-b multiplied by a/a^2-ab

Algebra ->  Equations -> SOLUTION: b^2-a^2/a-b multiplied by a/a^2-ab      Log On


   

Question 281644: b^2-a^2/a-b multiplied by a/a^2-ab
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28b%5E2-a%5E2%29%2F%28a-b%29%29%28a%2F%28a%5E2-ab%29%29 Start with the given expression


%28%28-%28a%2Bb%29%28a-b%29%29%2F%28a-b%29%29%28a%2F%28a%5E2-ab%29%29 Factor the first numerator.


%28%28-%28a%2Bb%29%28a-b%29%29%2F%28a-b%29%29%28a%2F%28a%28a-b%29%29%29 Factor the second denominator.


%28%28-a%28a%2Bb%29%28a-b%29%29%2F%28a%28a-b%29%28a-b%29%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


%28-%28a%2Bb%29%29%2F%28a-b%29 Simplify


%28-a-b%29%2F%28a-b%29 Distribute


So %28%28b%5E2-a%5E2%29%2F%28a-b%29%29%28a%2F%28a%5E2-ab%29%29 simplifies to %28-a-b%29%2F%28a-b%29


In other words, %28%28b%5E2-a%5E2%29%2F%28a-b%29%29%28a%2F%28a%5E2-ab%29%29=%28-a-b%29%2F%28a-b%29