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Using truth tables prove the following logical equivalences :

~(p ↔ q) ≡ (p ∧ ~q) ∨ (q ∧ ~p)

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~(p ↔ q) ≡ (p ∧ ~q) ∨ (q ∧ ~p)

The entries in the columns 6 and 9 are identical. 

∴ ~(p ↔ q) ≡ (p ∧ ~q) ∨ (q ∧ ~p).

by (10 points)
Without using truth table how to find this

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