Algebra bases

Take 10 minutes to prepare this exercise.

Then, if you lack ideas to begin, look at the given clue and start searching for the solution.

A detailed solution is then proposed to you.

If you have more questions, feel to ask then on the forum.

Question

Prove that their, assuming prove that

Indice

Use the formula to prove that

Remember also that

Solution

By taking as definition of the absolute value we have:

Using the property of the conjugate of a product and the commutativity of the multiplication of complex numbers, we have:

It is a bit longer using the expression

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