question_answer

On subtracting the sum of \[\mathbf{-12}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{3}}}\mathbf{+6}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{2}}}\] and \[\mathbf{-5}{{\mathbf{y}}^{\mathbf{2}}}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}\,\,\mathbf{13}{{\mathbf{x}}^{\mathbf{3}}}{{\mathbf{y}}^{\mathbf{2}}}\,\,\mathbf{from}\,\,\mathbf{3}{{\mathbf{x}}^{\mathbf{4}}}\mathbf{-}{{\mathbf{x}}^{\mathbf{2}}}\]\[\mathbf{y}\text{ }+\text{ }\mathbf{8}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{3}}}-\mathbf{23}{{\mathbf{x}}^{\mathbf{3}}}{{\mathbf{y}}^{\mathbf{2}}}+\text{ }{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{2}}}\], we get _________.

A) \[3{{x}^{4}}-{{x}^{2}}y+\,\,20{{x}^{2}}{{y}^{3}}-36{{x}^{3}}{{y}^{2}}\]

B)  \[3{{x}^{4}}-2{{x}^{2}}{{y}^{2}}-{{x}^{2}}y-4{{x}^{2}}{{y}^{3}}+10{{x}^{3}}{{y}^{2}}\]

C)  \[3{{x}^{4}}+2{{x}^{2}}{{y}^{2}}+{{x}^{2}}y+4{{x}^{2}}{{y}^{3}}-10{{x}^{3}}{{y}^{2}}\]

D) \[3{{x}^{4}}+{{x}^{2}}y+4{{x}^{2}}{{y}^{3}}-10{{x}^{3}}{{y}^{2}}\]

E) None of these