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)

The  greatest common factor of is

Given the expression

Find the factor of each term

For the term;

From the given factors, we can see that is common to all the terms. Hence the  greatest common factor of is

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