question_answer

The value of \[\left( \mathbf{x-y} \right)\left( \mathbf{x+y} \right)\left( {{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}} \right)\mathbf{\{}{{\left( {{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}} \right)}^{\mathbf{2}}}\mathbf{-2}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{\}}\] is:

A) \[{{x}^{8}}-{{y}^{8}}\]   

B)       \[{{x}^{8}}+{{y}^{8}}\]

C) \[{{x}^{6}}-{{y}^{6}}\]               

D)        \[{{x}^{6}}+{{y}^{6}}\]

E) None of these