The greatest common factor will include the lowest power of each variable and the GCF of the coefficients.
In the expression:
[tex]3xy^3+2x^3y+9xy[/tex]The greatest common factor of the coefficients (3, 2, and 9) is 1.
The lowest power of the variable x is 1.
The lowest power of the variable y is 1.
Therefore, the greatest common factor is: xy.
Factor out the monomial xy from the expression:
[tex]3xy^3+2x^3y+9xy=xy(3y^2+2x^2+9)[/tex]