Question

Find the greatest common factor. 3x4y2 + 12x2y3 + 6x3y4

Answer 1

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

GCF = 3x^2y^2

Answer 2

Answer:

The greatest common factor is $3x^2y^2$.

Step-by-step explanation:

The given expression is

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

The factor form of each term are

$3x^4y^2=3\times x\times x\times x\times x\times y\times y$

$12x^2y^3=3\times 2\times 2\times x\times x\times y\times y\times y$

$6x^3y^3=2\times 3\times x\times x\times x\times y\times y\times y\times y$

The common factors are 3,x,x,y,y.

$GCF=3\times x\times x\times y\times y$

$GCF=3x^2y^2$

Therefore the greatest common factor is $3x^2y^2$.