A) \[{{B}^{2}}\]
B) \[I\]
C) \[{{A}^{2}}{{B}^{2}}\]
D) \[{{A}^{2}}\]
Correct Answer: A
Solution :
Given, \[(A+B)(A-B)={{A}^{2}}-{{B}^{2}}\] \[\Rightarrow \] \[{{A}^{2}}-AB+BA-{{B}^{2}}={{A}^{2}}-{{B}^{2}}\] \[\Rightarrow \] \[AB=BA\] Now, \[{{(AB{{A}^{-1}})}^{2}}={{(BA{{A}^{-1}})}^{2}}={{B}^{2}}\]You need to login to perform this action.
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