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Let A={a,b,c,d},B={c,d,e} and C={d,e,f,...

Let `A={a,b,c,d},B={c,d,e} ` and `C={d,e,f,g}`. Then verify each of the following identities:
(i) `Axx(BnnC)=(AxxB)nn(AxxC)`
(ii) `Axx(B-C)=(AxxB)-(AxxC)`
(iii) `(AxxB)nn(BxxA)=(AnnB)xx(AnnB)`

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