The length of a rectangle is represented by (6x - 2), and the width is represented by (x - 1). Which expression best represents the area of the rectangle?

The are of a rectangle can be obtained by using the formula

A=L*W

Since we are already given with the L, which is (6x-2), and the width, which is (x-1), the area of the rectangle is then

A = (6x-2) (x-1)

which, upon further simplification will give us

A = 6x^2-2x-6x+2

Combining like terms will yield

A = 6x^2-8x+2

Hence, the area of the specified rectangle is represented by the expression 6x^2 - 8x + 2.