SOLUTION: Simplify 3 (^3√81a^3b^4) - 2a (^3√24b^4)

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Question 178229: Simplify 3 (^3√81a^3b^4) - 2a (^3√24b^4)

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Aroot%283%2C81a%5E3b%5E4%29-2a%2Aroot%283%2C24b%5E4%29 Start with the given expression.


3%2A3ab%2Aroot%283%2C3b%29-2a%2Aroot%283%2C24b%5E4%29 Simplify the first cube root. Note: let me know if you need help simplifying cube roots.


9ab%2Aroot%283%2C3b%29-2a%2Aroot%283%2C24b%5E4%29 Multiply


9ab%2Aroot%283%2C3b%29-2a%2A2b%2Aroot%283%2C3b%29 Simplify the second cube root.


9ab%2Aroot%283%2C3b%29-4ab%2Aroot%283%2C3b%29 Multiply


root%283%2C3b%29%2A%289ab-4ab%29 Factor out the GCF root%283%2C3b%29


root%283%2C3b%29%2A%285ab%29 Combine like terms.


5ab%2Aroot%283%2C3b%29 Rearrange the terms.


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Answer:


So 3%2Aroot%283%2C81a%5E3b%5E4%29-2a%2Aroot%283%2C24b%5E4%29=5ab%2Aroot%283%2C3b%29