Question

Factor 27a^{3}b^{9} + 8c^{18}.Which of the following is one of the factors

Answer 1

Second option is the correct answer

`\bigodot (9a^2b^6-6ab^3c^6+4c^(12))`

Explanation:

• 
  `27a^(3)b^(9) + 8c^(18)`

• 
  `=(3ab^(3) )^3+ (2c^(6))^3`

• 
  `=(3ab^(3) +2c^(6))[(3ab^3)^2-(3ab^3)(2c^6)+(2c^6)^2]`

• 
  `=(3ab^(3) +2c^(6))\orange{\bold{(9a^2b^6-6ab^3c^6+4c^(12))}}`