Thread: Distriblutive law

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?

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

.