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

Question

Mathematics

Santos Carr

16 February, 07:56

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

+3

Answers (1)

Know the Answer?

Kelsie Shields · Answer 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:

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