# (Solved) : ~ ~b C D V ~ B C D Equivalent ~ C D ~b V B Would Use Distributive Law Factor ~ C D ~ ~b C Q40164135 . . .

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Is ((~a ^ ~b ^ c ^ d) v (~a ^ b ^ c ^ d)) equivalent to ((~a ^ c^ d) ^ (~b v b))? If not, how would you use the distributive law tofactor out (~a ^ c ^ d) from ((~a ^ ~b ^ c ^ d) v (~a ^ b ^ c ^d))? (~ = not, ^ = and, v = or)

Thank you

## Expert Answer

Answer to Is ((~a ^ ~b ^ c ^ d) v (~a ^ b ^ c ^ d)) equivalent to ((~a ^ c ^ d) ^ (~b v b))? If not, how would you use the distrib…

## Description

Is ((~a ^ ~b ^ c ^ d) v (~a ^ b ^ c ^ d)) equivalent to ((~a ^ c^ d) ^ (~b v b))? If not, how would you use the distributive law tofactor out (~a ^ c ^ d) from ((~a ^ ~b ^ c ^ d) v (~a ^ b ^ c ^d))? (~ = not, ^ = and, v = or)

Thank you

## Expert Answer

((~a ^ ~b ^ c ^ d) v (~a ^ b ^ c ^ d))
(((~a ^ c ^ d)^ ~b) v ((~a ^ c ^ d) ^ b)) [Associative law]
(~a ^ c ^ d) part is common between both the terms
Take out that common part and write the remaining<... View full description