which expression is equivalent to 9x^3+18x^2-x-2/3x+1

(27 x^3 + 54 x^2 + -5 x + 3)/3

Step-by-step explanation:

Simplify the following:

9 x^3 + 18 x^2 - (2 x)/3 - x + 1

Put each term in 9 x^3 + 18 x^2 - (2 x)/3 - x + 1 over the common denominator 3: 9 x^3 + 18 x^2 - (2 x)/3 - x + 1 = (27 x^3)/3 + (54 x^2)/3 - (2 x)/3 - (3 x)/3 + 3/3:

(27 x^3)/3 + (54 x^2)/3 - (2 x)/3 - (3 x)/3 + 3/3

(27 x^3)/3 + (54 x^2)/3 - (2 x)/3 - (3 x)/3 + 3/3 = (27 x^3 + 54 x^2 - 2 x - 3 x + 3)/3:

(27 x^3 + 54 x^2 - 2 x - 3 x + 3)/3

-3 x - 2 x = -5 x:

(27 x^3 + 54 x^2 + -5 x + 3)/3