and
then
verify that
(i) (A + B)? =
A? + B? (ii) (A ? B)? = A? ? B?
Answer:
. Given 
and 
and 
(i) 
?
(1)
Also, A? + B? 
?.
(2)
From (1) and
(2), we get
(A + B)? = A? +
B?
(ii) A ? B = 
?
(1)
Also, A? ? B? = 
..
(2)
From (1) and
(2), we get
(A ? B)? = A? ?
B?
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