What is (6x^3y^15) / (3xy)?

2 x^2 y^14

Step-by-step explanation:

Simplify the following:

(6 x^3 y^15)/(3 x y)

6/3 = (3×2)/3 = 2:

(2 x^3 y^15)/(x y)

Combine powers. (2 x^3 y^15)/(x y) = 2 x^(3 - 1) y^(15 - 1):

2 x^(3 - 1) y^(15 - 1)

3 - 1 = 2:

2 x^2 y^(15 - 1)

15 - 1 = 14:

2 x^2 y^14

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0