Identify the remainder when \[(a{{x}^{2}}+b{{y}^{2}}+b{{x}^{2}}+a{{y}^{2}})\] is divided by \[(a+b)\].

• A. 1                             
• B. 0             
• C.          \[ab\]                   
• D.        \[{{x}^{2}}{{y}^{2}}\]