Prove or disprove these equalities. a) x (y z) = (x y) z

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Prove or disprove these equalities.
a) x ⊕ (y ⊕ z) = (x ⊕ y) ⊕ z
b) x + (y ⊕ z) = (x + y) ⊕ (x + z)
c) x ⊕ (y + z) = (x ⊕ y) + (x ⊕ z)
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