Respuesta :

3x^4y^2 + 12x^2y^3 + 6x^3y^4

GCF = 3x^2y^2

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].

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