In Problems 11–48, perform the indicated operation, and write each expression in the standard form a + bi. 11. (2 — 3і) + (6 + 8i) 12. (4 + 5i) + (-8 + 2i) 13. (-3 + 2i) – (4 – 4i) 14. (3 – 4i) – (-3 – 4i) 15. (2 — 51) — (8+ 6і) 16. (-8 + 4i) – (2 – 2i) 17. 3(2 — 6і) 18. –4(2 + 8i) 19. 2i (2 — 3і) 20. Зi(-3 + 4i) \ 21. (3 – 4i) (2 + i) 22. (5 + 3i) (2 - i) 10 13 23. (-6 + i) (-6 — і) 24. (-3 + i) (3 + i) 25. 3 26. 5 - 12i 4i 2 + i 27. 2 - i 28. -2i 6 - i 29. 1 + i 2 + 3i 30. 1 - i V3 31. 33. (1 + i)? 34. (1 – i)? SECTION A.7 Complex Numbers; Quadratic Equations in the Complex Number System 35. Р3 36. i14 37. г15 38. 23 39. i6 – 5 41. 6i – 4i5 43. (1 + i) 48. i + + P + i 40. 4 + 3 42. 4i – 21 + 1 44. (3i)* + 1 45. i' (1 + ?) 46. 2i* (1 + ?) 47. * + i* + ² + 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 30E
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In Problems 11–48, perform the indicated operation, and write each expression in the standard form a + bi.
11. (2 — 3і) + (6 + 8i)
12. (4 + 5i) + (-8 + 2i)
13. (-3 + 2i) – (4 – 4i)
14. (3 – 4i) – (-3 – 4i)
15. (2 — 51) — (8+ 6і)
16. (-8 + 4i) – (2 – 2i)
17. 3(2 — 6і)
18. –4(2 + 8i)
19. 2i (2 — 3і)
20. Зi(-3 + 4i)
\ 21. (3 – 4i) (2 + i)
22. (5 + 3i) (2 - i)
10
13
23. (-6 + i) (-6 — і)
24. (-3 + i) (3 + i)
25.
3
26.
5 - 12i
4i
2 + i
27.
2 - i
28.
-2i
6 - i
29.
1 + i
2 + 3i
30.
1 - i
V3
31.
33. (1 + i)?
34. (1 – i)?
SECTION A.7 Complex Numbers; Quadratic Equations in the Complex Number System
35. Р3
36. i14
37. г15
38. 23
39. i6 – 5
41. 6i – 4i5
43. (1 + i)
48. i + + P + i
40. 4 + 3
42. 4i – 21 + 1
44. (3i)* + 1
45. i' (1 + ?)
46. 2i* (1 + ?)
47. * + i* + ² + 1
Transcribed Image Text:In Problems 11–48, perform the indicated operation, and write each expression in the standard form a + bi. 11. (2 — 3і) + (6 + 8i) 12. (4 + 5i) + (-8 + 2i) 13. (-3 + 2i) – (4 – 4i) 14. (3 – 4i) – (-3 – 4i) 15. (2 — 51) — (8+ 6і) 16. (-8 + 4i) – (2 – 2i) 17. 3(2 — 6і) 18. –4(2 + 8i) 19. 2i (2 — 3і) 20. Зi(-3 + 4i) \ 21. (3 – 4i) (2 + i) 22. (5 + 3i) (2 - i) 10 13 23. (-6 + i) (-6 — і) 24. (-3 + i) (3 + i) 25. 3 26. 5 - 12i 4i 2 + i 27. 2 - i 28. -2i 6 - i 29. 1 + i 2 + 3i 30. 1 - i V3 31. 33. (1 + i)? 34. (1 – i)? SECTION A.7 Complex Numbers; Quadratic Equations in the Complex Number System 35. Р3 36. i14 37. г15 38. 23 39. i6 – 5 41. 6i – 4i5 43. (1 + i) 48. i + + P + i 40. 4 + 3 42. 4i – 21 + 1 44. (3i)* + 1 45. i' (1 + ?) 46. 2i* (1 + ?) 47. * + i* + ² + 1
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