Answer:
The greatest common factor is [tex]3x^2y^2[/tex].
Step-by-step explanation:
The given expression is
[tex]3x^4y^2+12x^2y^3+6x^3y^4[/tex]
The factor form of each term are
[tex]3x^4y^2=3\times x\times x\times x\times x\times y\times y[/tex]
[tex]12x^2y^3=3\times 2\times 2\times x\times x\times y\times y\times y[/tex]
[tex]6x^3y^3=2\times 3\times x\times x\times x\times y\times y\times y\times y[/tex]
The common factors are 3,x,x,y,y.
[tex]GCF=3\times x\times x\times y\times y[/tex]
[tex]GCF=3x^2y^2[/tex]
Therefore the greatest common factor is [tex]3x^2y^2[/tex].