SOLUTION: factor completly 3(x-2)^2-3(x-2)-6

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Question 85143: factor completly
3(x-2)^2-3(x-2)-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
note: I'm going to start out with y

3%28y-2%29%5E2-3%28y-2%29-6

Let x=y-2

3x%5E2-3x-6
Now factor

Solved by pluggable solver: Factoring using the AC method (Factor by Grouping)


3%2A%5E2-3%2A-6 Start with the given expression.



3%281-1-2%29 Factor out the GCF 3.



Now let's try to factor the inner expression 1-1-2



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Now replace x with y-2 to get

%283%28y-2%29-6%29%28%28y-2%29%2B1%29