For Exercises 31–56, perform the indicated operations. Write the answers in standard form, a + bi. (See Examples 3-6) 31. (2 – 7i) + (8 – 3i) 32. (6 – 10i) + (8 + 4i) 33. (15 + 21i) – (18 – 40i) 34. (250 + 100i) – (80 + 25i) 35. (2.3 + 4i) – (8.1 – 2.7i) + (4.6 – 6.7i) 36. (0.05 – 0.03i) + (-0.12 + 0.08i) – (0.07 + 0.05i) 37. 2i(5 + i) 38. 4i(6 + 5i) 39. (3 – 6i)(10 + i) 40. (2 – 5i)(8 + 2i) 43. (3 – V-5)(4 + V-5) 46. (3 – 21)? + (3 + 2i)? 41. (3 - 42. (10 — З1)? 44. (2 + V=7)(10 + V-7) 45. (2 – i)? + (2 + i)? 47. (10 – 4i)(10 + 4i) 48. (3 9i)(3 + 9i) 49. (V2 + V3i)(V2 - V3i) 50. (V3 + V7i)(V5 – Vīi) 6 + 2i 51. 3 - i 5 + i 52. 4 - i 8 - 5i 53. 13 + 2i 10 – 3i 54. 11 + 4i 55. 13i 56. 7i

Q: 5 – 2i 1+i If A = find A. 2 – i -2 – 5i ? ? A = А ? ?

A: We will find out the required value.

Q: Multiply and Simplify 7i (2 + 5i) - 2i(3+4i) O a) 8i + 27i² O b) 20i + 43i² O c) 20i - 43 O d) -27 +…

A:

Q: Find the value of q such that (3 + 4i)(1 + 2i) (1 + 3i) = q(1 + i).

A: We have to simplify left hand side expression then compare both side to find the value of q.

Q: Evaluate: 3i - 1 i=1

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine which of the expressions are equivalent. Equivalent Expressions : (4- i)(5i+ 1) : 10 - (4–…

A:

Q: Add and simplify. (4 – 7i) + (4 – 8i)

A: While adding two complex numbers having real and imaginary parts, add the real part of one complex…

Q: Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate of –6 – 24i.

A:

Q: 1. Simplify the following list of complex expressions to the form a + ib where a, b are real…

A: we need to simplify the given complex expression to the form a+ib we know i=-1,  i2 = -1,  i3=-i, i4…

Q: 1 - 3i З 1 + 2i

A: To simplify the following expression.

Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

A:

Q: 12) (3 + 2i) + (5-3i) 13) (4 + 2i) (3 - 2i)

A:

Q: What is Im (i (3 + 2i) (7 +5i))?

A: Given that the complex number Imi3+2i7+5i   .