SOLUTION: I was wondering how I simplify (-36^2-48a)/(18a^3+24a^2)

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Question 185352: I was wondering how I simplify (-36^2-48a)/(18a^3+24a^2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that the expression is really %28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%5E2%29


%28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%5E2%29 Start with the given expression.



%28-6%2A2a%283a%2B4%29%29%2F%2818a%5E3%2B24a%5E2%29 Factor -36a%5E2-48a%29 to get -6%2A2a%283a%2B4%29.


%28-6%2A2a%283a%2B4%29%29%2F%286a%2Aa%283a%2B4%29%29 Factor 18a%5E3%2B24a%5E2 to get 6a%2Aa%283a%2B4%29.


Highlight the common terms.


Cancel out the common terms.


-2%2Fa Simplify


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Answer:


So %28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%5E2%29 simplifies to -2%2Fa



In other words, %28-36a%5E2-48a%29%2F%2818a%5E3%2B24a%5E2%29=-2%2Fa where a%3C%3E0 or a%3C%3E-4%2F3