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Operations with Complex Numbers

Question 13 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Study the work shown below and compare the results to the product of –2i(6 – 7i).(0 – 2i)(6 – 7i)= (0)(6) + (0)(–7i) + (–2i)(6) + (–2i)(–7i)= 0 + 0 –12i + 14i2= –12i – 14= –14 –12iThe products are .

Answer
A
different
B
equal
C
inverses

Explanation

Since 0 − 2i is the same number as −2i, both products have the same factors: (−2i)(6 − 7i). The shown work gives −14 − 12i, so the products are equal; the correct choice is “equal.”

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