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If A+iB=(a(1)+ib(1))(a(2)+ib(2))(a(3)+ib...

If `A+iB=(a_(1)+ib_(1))(a_(2)+ib_(2))(a_(3)+ib_(3))` then `A^(2)+B^(2)` is :

A

`a_(1)^(2)+a_(2)^(2)+a_(3)^(2)+b_(1)^(2)+b_(2)^(2)+b_(3)^(2)`

B

`(a_(1)+a_(2)+a_(3))^(2)+(b_(1)+b_(2)+b_(3))^(2)`

C

`(a_(1)^(2)+b_(1)^(2))(a_(2)^(2)+b_(2)^(2))(a_(3)^(2)+b_(3)^(2))`

D

`(a_(1)^(2)+a_(2)^(2)+a_(3)^(2))+(b_(1)^(2)+b_(2)^(2)+b_(3)^(2))`

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The correct Answer is:
C
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