There are three monomials such that the greatest common factor of the first and second monomials is 2xy, and the greatest common factor of the second and third monomials is 2x2y.
The greatest common factor of the three monomials is......?

Question

There are three monomials such that the greatest common factor of the first and second monomials is 2xy, and the greatest common factor of the second and third monomials is 2x2y.
The greatest common factor of the three monomials is......?

anonymous · Answer

@freckles @amistre64

amistre64 · Answer

set up the information, what do we notice?

anonymous · Answer

Is 2xy the greatest common factor to both?

anonymous · Answer

@amistre64  @amistre64

amistre64 · Answer

are we guessing or can we make an arguement for ir?

amistre64 · Answer

** it

anonymous · Answer

I honestly think so, what about you? I calculated and got this.

amistre64 · Answer

let:

m1 = 2xy a
m2 = 2xy b
m3 = 2x2y c

since 2 and 3 have a common factor let b=2n


m1 = 2xy    a
m2 = 2xy 2 n
m3 = 2x2y  c


or simply

m1 = 2xy    a
m2 = 2xy  2n
m3 = 2xy  2c

given that anc have no common factors

anonymous · Answer

OK.

anonymous · Answer

So I was right, thanks @amistre64