I am asked to prove that addition and multiplication on C satisfy the distributive law. I understand that I must show x(y + z) = xy + xz, but what else must I show?

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Originally Posted by jzellt I am asked to prove that addition and multiplication on C satisfy the distributive law. I understand that I must show x(y + z) = xy + xz, but what else must I show? Let all be complex numbers. In other words, let . Evaluate then multiply the result by . Evaluate . Are these equal? Hint: You may use the definition of multiplication of a complex number, i.e. if and then .

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