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

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

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* x* x* x* x* y* y`

`12x^2y^3=3* 2* 2* x* x* y* y* y`

`6x^3y^3=2* 3* x* x* x* y* y* y* y`

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

`GCF=3* x* x* y* y`

`GCF=3x^2y^2`

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