SOLUTION: a^2b/b^2a * ab-b^2/ab-a^2

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Question 149317: a^2b/b^2a * ab-b^2/ab-a^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28a%5E2%2Ab%29%2F%28b%5E2%2Aa%29%29%28%28a%2Ab-b%5E2%29%2F%28a%2Ab-a%5E2%29%29 Start with the given expression.


%28%28a%5E2%2Ab%29%2F%28b%5E2%2Aa%29%29%28%28b%2A%28a-b%29%29%2F%28a%2Ab-a%5E2%29%29 Factor a%2Ab-b%5E2 to get b%2A%28a-b%29.


%28%28a%5E2%2Ab%29%2F%28b%5E2%2Aa%29%29%28%28b%2A%28a-b%29%29%2F%28-a%2A%28a-b%29%29%29 Factor a%2Ab-a%5E2 to get -a%2A%28a-b%29.


%28a%5E2%2Ab%2Ab%2A%28a-b%29%29%2F%28b%5E2%2Aa%2A%28-a%2A%28a-b%29%29%29 Combine the fractions.


%28a%5E2%2Ab%5E2%2A%28a-b%29%29%2F%28-%28b%5E2%2Aa%5E2%2A%28a-b%29%29%29 Multiply.


Highlight the common terms.


Cancel out the common terms.


-1 Simplify.


So %28%28a%5E2%2Ab%29%2F%28b%5E2%2Aa%29%29%28%28a%2Ab-b%5E2%29%2F%28a%2Ab-a%5E2%29%29 simplifies to -1.