question_answer

The product of\[(-\,3{{x}^{2}}y)\,\,(4{{x}^{2}}y-3x{{y}^{2}}+4x-5y)\] is equal to:

A)  \[12{{x}^{3}}{{y}^{2}}+9{{x}^{2}}{{y}^{2}}-12{{x}^{4}}y+15{{x}^{3}}{{y}^{3}}\]

B)  \[-12{{x}^{4}}{{y}^{2}}+9{{x}^{3}}{{y}^{3}}-12{{x}^{3}}y+15{{x}^{2}}{{y}^{2}}\]

C)  \[-12x{{y}^{2}}+9{{x}^{3}}{{y}^{2}}-12{{x}^{3}}y+15xy\]

D)  \[-12x{{y}^{3}}+9xy-12x{{y}^{2}}+15{{x}^{2}}y\]

E)  None of these