Which one of the following is a factor of 3√3x 3 + 2√2y 3 - 18xy + 6√6 ?

Correct Answer is : 3x2 + 2y2- √18x−√12y−√6xy+6

3x2 + 2y2- \sqrt{18}x−\sqrt{12}y−\sqrt{6}xy + 6

3x2 + 2y2+ \sqrt{18}x + \sqrt{12}y−\sqrt{6}xy + 6