question_answer

Factorise the expression given by \[27{{x}^{3}}{{y}^{3}}-18{{x}^{2}}{{y}^{3}}+36{{x}^{3}}{{y}^{2}}\].

A) \[9{{x}^{2}}{{y}^{2}}\,(3xy-2y+4x)\]

B) \[9{{x}^{2}}{{y}^{2}}\,(2xy+3y+4x)\]

C) \[9{{x}^{2}}{{y}^{2}}\,(2xy-3y+4x)\]

D) \[9{{x}^{2}}{{y}^{2}}\,(3xy+2y-4x)\]

E)  None of these