A rectangle has a length of 2x+1 and a width of 3x-2. Write an expression for the area of the rectangle.

(2x+1)x(3x-2)

Step-by-step explanation:

area  of rectangle = length * width

length = 2x+1

width = 3x-2

area = (2x+1) x (3x-2)

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18