SOLUTION: what is the greatest common factor of 15x^4y^3-21x^3y^3+6x^2y^2

Question 699636: what is the greatest common factor of 15x^4y^3-21x^3y^3+6x^2y^2
Answer by Simnepi(216) (Show Source): You can put this solution on YOUR website!
Ley's break each term down into its factors, then we can see what they have in common.
First term is this is the same as
3*5*x*x*x*x*y*y*y
second term is this is the same as
3*7*x*x*x*y*y*y
and the last term is which is the same as
3*2*x*x*y*y
Now if we look at each of the broken down terms we can see they all have a 3 in common so that can be taken out as a common factor
look again and we see that they all have x*x () in them too (we can't take any more x's out as there are only 2 of them in the last term!)
Look one more time and we see that they also all have y*y () in them which can be removed as a common factor.
All those factors should be placed outside of a bracket and what is left of the term placed inside the bracket, i.e.
3*x*x*y*y(5*x*x*y -7*x*y +2)
Putting the terms back together again gives

Hope that helps!
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