SOLUTION: HELP Factor 9a^2-4b^2+12bc-9c^2 THANK YOU FOR ANGELS LIKE YOU

Question 184769: HELP
Factor
9a^2-4b^2+12bc-9c^2
THANK YOU FOR ANGELS LIKE YOU
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Factor a negative 1 from to get

Factor to get . Note: this is a perfect square. Let me know if you need me to elaborate on how I factored this.

Rewrite as

Let and

Replace "3a" with "x" and 2b-3c with "y"

Now we have a difference of squares, which factors to

Plug in and

Distribute

============================================

Answer:

So completely factors to

In other words,
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