The product of \[\left( \mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}} \right)\] and \[\left( \mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+3}{{\mathbf{y}}^{\mathbf{2}}} \right)\] is_____.

• A. \[{{x}^{3}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\]
• B. \[3{{x}^{2}}+5{{x}^{5}}{{y}^{2}}+3{{y}^{4}}\]
• C. \[6{{x}^{5}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\]
• D. \[6{{x}^{4}}+11{{x}^{2}}{{y}^{2}}+3{{y}^{4}}\]
• E. None of these