Operations with Complex Numbers

Question 1

(6 + 3i)(6 − 3i) = [___] (4 − 5i)(4 + 5i) = [___] (−3 + 8i)(−3 − 8i) = [___]

Revolt · Accepted Answer

41

Question 2

What values of c and d would make the following expression represent a real number?i(2 + 3i)(c + di)

Revolt · Accepted Answer

c = –3, d = –2

Question 3

Multiply and simplify the product.(8 – 5i)2 Select the product.

Revolt · Accepted Answer

39-80i

Question 4

Question 25

Revolt · Accepted Answer

41

Question 5

What values of c and d would make the following expression represent a real number?i(2 + 3i)(c + di)

Revolt · Accepted Answer

c = –3, d = –2

Question 6

Question 27

Revolt · Accepted Answer

73

Question 7

Simplify each expression. Select the correct answer from the drop-down menu.

Revolt · Accepted Answer

✔ –36; −6(3i)(−2i) = 2(3 − i)(−2 + 4i) =: –36; −6(3i)(−2i) = 2(3 − i)(−2 + 4i) =: –4 + 28i

Question 8

–2 + 14i ✔ –4 + 28i –20 + 20i

Revolt · Accepted Answer

✔ –4 + 28i

Question 9

Simplify each expression. Select the correct answer from the drop-down menu.

Revolt · Accepted Answer

−6(3i)(−2i) = 2(3 − i)(−2 + 4i) =: –36; −6(3i)(−2i) = 2(3 − i)(−2 + 4i) =: –4 + 28i

Operations with Complex Numbers Answers