If $A+iB=(a_{1}+ib_{1})(a_{2}+ib_{2})(a_{3}+ib_{3}) $ then $A^{2}+B^{2}$is

Question

\[\]$(1)a^{2}_{1}+b^{2}_{1}+a^{2}_{2}+b^{2}_{2}+a^{2}_{3}+b^{2}_{3}$\[\](2)$(a_{1}+a_{2}+a_{3})^{2}+(b_{1}+b_{2}+b_{3})^{2}$\[\]$(3)(a^{2}_{1}+b^{2}_{1})(a^{2}_{2}+b^{2}_{2})(a^{2}_{3}+b^{2}_{3})$\[\](4)$(a^{2}_{1}+a^{2}_{2}+a^{2}_{3})(b^{2}_{1}+b^{2}_{2}+b^{2}_{3})$