SOLUTION: We need to simplify this equation 3a^2-9a-12/6a^2+30a+24 My work: (3a-3)(a-4) I am stuck on this.

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: We need to simplify this equation 3a^2-9a-12/6a^2+30a+24 My work: (3a-3)(a-4) I am stuck on this.      Log On

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Question 168527This question is from textbook
: We need to simplify this equation
3a^2-9a-12/6a^2+30a+24
My work: (3a-3)(a-4)
I am stuck on this.This question is from textbook

Answer by jim_thompson5910(28546) About Me  (Show Source):
You can put this solution on YOUR website!
%283a%5E2-9a-12%29%2F%286a%5E2%2B30a%2B24%29 Start with the given expression


%283%28a-4%29%28a%2B1%29%29%2F%286a%5E2%2B30a%2B24%29 Factor the numerator


%283%28a-4%29%28a%2B1%29%29%2F%286%28a%2B4%29%28a%2B1%29%29 Factor the denominator


%283%28a-4%29highlight%28%28a%2B1%29%29%29%2F%286%28a%2B4%29highlight%28%28a%2B1%29%29%29 Highlight the common terms.


%283%28a-4%29cross%28%28a%2B1%29%29%29%2F%286%28a%2B4%29cross%28%28a%2B1%29%29%29 Cancel out the common


%283%28a-4%29%29%2F%286%28a%2B4%29%29 Simplify


%28a-4%29%2F%282%28a%2B4%29%29 Reduce


%28a-4%29%2F%282a%2B8%29 Distribute


So %283a%5E2-9a-12%29%2F%286a%5E2%2B30a%2B24%29 simplifies to %28a-4%29%2F%282a%2B8%29


In other words, %283a%5E2-9a-12%29%2F%286a%5E2%2B30a%2B24%29=%28a-4%29%2F%282a%2B8%29 where a%3C%3E-4 or a%3C%3E-1