Question

Factor out the GCF.
21x^3y^2 - 7x^2y + 42xy

Answer 1

and show how to do this step by step if you can

Answer 2

so that i can understand it more

Answer 3

okay, look at the problem, and notice that the coefficents are all multiples of 7

Answer 4

ok yes i c that
cuz 21/7=3

Answer 5

42/7=6

Answer 6

now, do you notice that the highest degree that we can possible factor out is x^1 and y^1, why? b/c thats the lowest power or degree. We cant factor out an x^3 from 42xy right?

Answer 7

yes we cant

Answer 8

so, basically the lowest common terms we can factor out

Answer 9

7 is the lowest coefficient and xy^1 is the lowest degree

Answer 10

so the GCF is 7xy

Answer 11

7xy is the GCF becuase it is common to all three terms