A) \[I\]
B) \[A+B\]
C) \[2AB\]
D) \[2BA\]
Correct Answer: B
Solution :
Given, \[AB=B,BA=A\] Then, \[{{A}^{2}}+{{B}^{2}}=A.A+B.B\] \[=A(BA)+B(AB)\] [From Eq. (i)] \[=(AB)A+(BA)B\] (by commutative law) \[=BA+AB\] [From Eq. (i)] \[=A+B\] [From Eq. (i)]You need to login to perform this action.
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