SOLUTION: Write: {{{5a^3c+10a^2-6bc-3abc^2}}} as a product

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Question 1066450: Write: 5a%5E3c%2B10a%5E2-6bc-3abc%5E2 as a product
Found 2 solutions by Edwin McCravy, Boreal:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

5a%5E3c%2B10a%5E2-6bc-3abc%5E2

Factor the first two terms only, by factoring out 5aČ

5a%5E2%28ac%5E%22%22%2B2%29-6bc-3abc%5E2

Factor the last two terms by factoring out -3bc,
remembering that when you factor a negative out
of a negative, you get a positive:

5a%5E2%28ac%5E%22%22%2B2%29-3bc%282%5E%22%22%2Bac%29

Notice that (ac+2) and (2+ac) are the same,
so write the 2nd one in reverse order:

5a%5E2%28ac%5E%22%22%2B2%29-3bc%28ac%5E%22%22%2B2%29

Factor out (ac+2)

%28ac%5E%22%22%2B2%29%285a%5E2-3bc%29

Edwin

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
5a^3c+10a^2-6bc-3abc^2
I see a 5-10 and 3-6 ratio
group them
5a^2(ac+2)-3bc(2+ac)
That is (5a^2-3bc)(ac+2)