question_answer

The HCF and LCM of two polynomials are \[(x+y)\] and  \[(3{{x}^{5}}+5{{x}^{4}}y+2{{x}^{3}}{{y}^{2}}-3{{x}^{2}}{{y}^{3}}-5x{{y}^{4}}\] \[-2{{y}^{5}})\] respectively. If one of the polynomials is \[({{x}^{2}}-{{y}^{2}})\], then the other polynomial will be

A)  \[3{{x}^{4}}-8{{x}^{3}}y+10{{x}^{2}}{{y}^{2}}+7x{{y}^{3}}-2{{y}^{4}}\]

B)  \[3{{x}^{4}}-8{{x}^{3}}y-10{{x}^{2}}{{y}^{2}}+7x{{y}^{3}}-2{{y}^{4}}\]

C)  \[3{{x}^{4}}+8{{x}^{3}}y+10{{x}^{2}}{{y}^{2}}+7x{{y}^{3}}+2{{y}^{4}}\]

D)  \[3{{x}^{4}}+8{{x}^{3}}y-10{{x}^{2}}{{y}^{2}}+7x{{y}^{3}}+2{{y}^{4}}\]

E)  None of these