If the width of a rectangle is represented by 3x-5 and the length is represented by 4x-4, which expression represents the area of the rectangle?

A = 12x^2 - 32x + 20

Step-by-step explanation:

The area of a rectangle of length L and width W is A = L*W.

Here the area is A = (3x - 5)(4x - 4) = 12x^2 -12x - 20x + 20, or

A = 12x^2 - 32x + 20.

(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