SOLUTION: I need help understanding this problem. Thank you! Factor out the greatest common factor from the expression: 10x^2yz^3 - 6x^2y^2z - 4xy^3z^2 Multiple Choice: 2xyz(5xz^2 -

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help understanding this problem. Thank you! Factor out the greatest common factor from the expression: 10x^2yz^3 - 6x^2y^2z - 4xy^3z^2 Multiple Choice: 2xyz(5xz^2 -       Log On


   

Question 676739: I need help understanding this problem. Thank you!
Factor out the greatest common factor from the expression:
10x^2yz^3 - 6x^2y^2z - 4xy^3z^2
Multiple Choice:
2xyz(5xz^2 - 3xy - 2y^2z)
2xy(5xz^3 - 3xyz - 2y^2z^2)
2xyz^2(5xz - 3xy - 2y^2)
2x^2y^2z^2(5z - 3 - 2y)
Found 2 solutions by ewatrrr, ReadingBoosters:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

10x^2yz^3 - 6x^2y^2z - 4xy^3z^2 

  ||x%5Em%2Fx%5En=x%5E%28m-n%29 Dividing: subtract Exponents

2x%5E1y%5E1z%5E1%285x%5E1z%5E2+-+3x%5E1y%5E1+-+2y%5E2z%5E1%29+ 

2xyz%285xz%5E2+-+3xy+-+2y%5E2z%29+

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
10x%5E2yz%5E3+-+6x%5E2y%5E2z+-+4xy%5E3z%5E2
...
they are all even so factor out 2
they all have xyz variables so it is a matter of how many can be factored out
...the least x is x
...the least y is y
...the least z is z
one of each variable can be factored from each
...
highlight_green%282xyz%285xz%5E2+-+3xy+-+2y%5E2z%29%29
.....................
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