Answer :

A ⋃ (B ⋂ C) = (A ⋃ B) ⋂ (A ⋃ C)

LHS:

Consider B ⋂ C,

Then

A ⋃ (B ⋂ C)

= LHS

RHS:

Consider A ⋃ B,

Then, consider A ⋃ C,

Then,

(A ⋃ B) ⋂ (A ⋃ C)

= RHS

∴ LHS = RHS

Hence verified.

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