-4x^3+21x^2-23x+6 / (x-4)

                   -4x² +   5x - 3
x - 4|-4x³ + 21x² - 23x + 6
      -(-4x³ + 16x²)
                     5x² - 23x
                 -(-5x² - 20x)
                              -3x +   6
                            -(-3x + 12)
                                        -6

Step-by-step explanation:

We have been given a sum . We are asked to rewrite this sum using distributive property and greatest common factor.

First of all, we will find greatest common factor of 72 and 60.

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

We can see that the greatest common factor of 72 and 60 is 12.

We can rewrite our given sum as:

Upon factoring out 12, we will get:

Therefore, our required expression is .