What is the product of a + bi and a - bi where a and b are real numbers, a ≠ 0, and b ≠ 0? Classify the product as a real or an imaginary number. Explain.

Jaya Legge

Jaya Legge

Answered question

2020-10-25

What is the product of a + bi and a - bi where a and b are real numbers, a0, and b0? Classify the product as a real or an imaginary number. Explain.

Answer & Explanation

odgovoreh

odgovoreh

Skilled2020-10-26Added 107 answers

One way to find the product is by using the rule: (x+y)(xy)=x2y2
(a+bi)(abi)=a2+(bi)2=a2+(b2)=a2b2 Since aa and b are both real numbers, then a2b2 is a real number.

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