SOLUTION: Express 6a²b² divided by 2ab² in lowest terms.

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Question 198889: Express 6a²b² divided by 2ab² in lowest terms.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%286a%5E2b%5E2%29%2F%282ab%5E2%29 Start with the given expression.


%282%2A3%2Aa%2Aa%2Ab%2Ab%29%2F%282%2Aa%2Ab%2Ab%29 Expand. Remember, 6a%5E2b%5E2=2%2A3%2Aa%2Aa%2Ab%2Ab and 2ab%5E2=2%2Aa%2Ab%2Ab


Highlight the common terms.


Cancel out the common terms.


3a Simplify.


So %286a%5E2b%5E2%29%2F%282ab%5E2%29 simplifies to 3a.


In other words, %286a%5E2b%5E2%29%2F%282ab%5E2%29=3a where a%3C%3E0 or b%3C%3E0