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CHERLYNnotCHERRY

Answer:

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)

abidemiokin

The  greatest common factor of [tex]6x^4y^3-12x^4y^2+6x^3y^2[/tex] is [tex]6x^3y^2[/tex]

Given the expression [tex]6x^4y^3-12x^4y^2+6x^3y^2[/tex]

Find the factor of each term

For the term;

[tex]6x^4y^3 = 6 * x ^3 * x * y^2\\12x^4y^2 = 6 * 2 * x^3 * x * y^2\\6x^3y^2 = 6 * x^3 * y^2[/tex]

From the given factors, we can see that [tex]6x^3y^2[/tex]is common to all the terms. Hence the  greatest common factor of [tex]6x^4y^3-12x^4y^2+6x^3y^2[/tex] is [tex]6x^3y^2[/tex]

Learn more here: https://brainly.com/question/219464

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