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Evaluate the product, and write the result in the form a + bi. (Simplify your answer completely.)

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Final answer:

The product of a complex number and its conjugate results in a real number, which is the sum of the squares of the real and imaginary parts.

Step-by-step explanation:

The question asks us to evaluate a product and express the result in the form a + bi. When multiplying a complex number by its conjugate, the result will have no imaginary parts. The general formula for squaring a complex number A (which is in the form of a + ib) is: A* A = (a + ib) (a - ib) = a² + b². This product equals the sum of the squares of the real and imaginary parts of the complex number, with the imaginary parts canceling each other out.

Substituting the specific values into the general formula will provide the evaluated product in the real number format as no imaginary numbers remain after the multiplication.

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User Fuzzi
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