What is the value of 8x³ + 18xy + y³- 27 when 2x + y - 3 = 0

Correct option is C

​Given:
Expression: $$8x^3 + 18xy + y^3 - 27​$$​​

Solution: 

2x + y – 3 = 0

2x + y = 3

By taking cube in both sides

(2x + y)³ = 3³

(2x)³ + y³ + 3 (2x)²y + 3(2x)y² = 27

8x³ + y³ + 12x²y + 6xy² = 27

8x³ + y³ + 6 x y (2x + y)= 27

8x³ + y³ + 6 xy (3)= 27

8x³ + y³ + 18 xy – 27 = 0