SOLUTION: factor completly 3(x-2)^2-3(x-2)-6 A) 3(x-2)(x-1) B) 3(x-2)(x+1) C) 3(x-4)(x+1) D) 3(x-4)(x-1)

Question 85272: factor completly
3(x-2)^2-3(x-2)-6
A) 3(x-2)(x-1)
B) 3(x-2)(x+1)
C) 3(x-4)(x+1)
D) 3(x-4)(x-1)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
note: I'm going to start out with y

Let

Now factor

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

AMP Parsing Error of [3*^2-3*-6]: Invalid expression '^2-3*-6': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203. . Start with the given expression.

Factor out the GCF .

Now let's try to factor the inner expression

---------------------------------------------------------------

Now replace x with to get

Distribute

Combine like terms

Factor out the GCF of the first group

So our answer looks exactly like answer D (just replace y with x)

So our answer is
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