SOLUTION: Perform the indicated operation -2a² 20a 3a² ˚ 15a³

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Question 149749This question is from textbook Elementary and Intermediate Algebra
: Perform the indicated operation
-2a² 20a
3a² ˚ 15a³
This question is from textbook Elementary and Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28-2a%5E2%29%2F%283a%5E2%29%29%28%2820a%29%2F%2815a%5E3%29%29 Start with the given expression.


%28%28-2a%5E2%29%2820a%29%29%2F%28%283a%5E2%29%2815a%5E3%29%29 Combine the fractions.


%28-40a%5E3%29%2F%2845a%5E5%29 Multiply.


%28-2%2A2%2A2%2A5%2Aa%2Aa%2Aa%29%2F%283%2A3%2A5%2Aa%2Aa%2Aa%2Aa%2Aa%29 Expand. Remember, -40a%5E3=-2%2A2%2A2%2A5%2Aa%2Aa%2Aa and 45a%5E5=3%2A3%2A5%2Aa%2Aa%2Aa%2Aa%2Aa


Highlight the common terms.


Cancel out the common terms.


%28-2%2A2%2A2%29%2F%283%2A3%2Aa%2Aa%29 Simplify.


%28-8%29%2F%289%2Aa%5E2%29 Regroup.


So %28%28-2a%5E2%29%2F%283a%5E2%29%29%28%2820a%29%2F%2815a%5E3%29%29 simplifies to %28-8%29%2F%289%2Aa%5E2%29.


In other words, %28%28-2a%5E2%29%2F%283a%5E2%29%29%28%2820a%29%2F%2815a%5E3%29%29=%28-8%29%2F%289%2Aa%5E2%29 where a%3C%3E0