Find the greatest common factor of

6x4y3-12x4y2+6x3y2

Question 3 options:

6xy

6

6x3y2

6x9y6

The answer is 6x³y²

Step-by-step explanation:

6x⁴y³ - 12x⁴y² + 6x³y². As you can see the common number in this expression is 6, so you can take it out:

6 (x⁴y³ - 2x⁴y² + x³y²)

Next, is to take out the lowest power of a base value which is x and y. Greatest Common Factor always requires the lower power of a base value. As from the expression, the lowest power of x is 3 and for y is 2:

6x³y² (xy - 2x + 1)

6x^3y^2

Step-by-step explanation:

6x^3y^2 (xy-2x+1)