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: (b) Show that i10 is real, even though i or 10i is not.

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Q: (b) Show that i³i is real, even though i or 3i is not.

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Q: Evaluate: Ei°(3n + 7) = [ ? ]

A:

Q: 7) What are the real and imaginary parts of (1+3i)exp(-ir/4)/(6+8i)?

A: The given complex number,        1+3iexp-iπ4/6+8i

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A: Given equation is: 2(x-3)-17=13-3(x+2) Considering, LHS: 2(x-3)-17 Substituting, x=6,we get:…

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A:

Q: 6. Evaluate the following and leave your answer in standard form [(1 – 4i)-1 – 2(i + 1)-'[(3 – 4i)(i…

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Q: Simplify: (2x*y®)(3xy*)". (Section 1.6, Example 9)

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Q: Express in terms of i. V- 80 -80 (Simplify your answer. Type your answer in the form a + bi.)

A: √(-80)=4√(5)i

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A: we have to simplify 2i-7i+10

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A:

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A: We have to find multiplication of given expression.

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A: topic - indefinite integral

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A: Follow next step

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A: We have to simplify the following -  (2+3i)(7-4i)

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Q: what Is the gimplest form of 5i (1-i) (2-i) (3-i) a. -10i -5/3 C. b. -8i d. -V½

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Q: Express the following in a + ib form a. (4i-7)+(2+i) b. (5-2i)(2+ 2i)

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Q: AS: の4+o4i (3-i)(I-2i) (2+i)(1+2i)

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Q: (b) Show that it is real, even though i or 8i is not.

A:

Q: 6)(3і — 2) (4i — 5)

A: Given,

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Q: The expression 6xi³(-4xi + 5) is equivalent to (1) 2x – 5i (3) -24x2 + 30x i - (2) -24x² – 30xi (4)…

A: Given that: 1) 6xi3(-4xi+5)2) (2+4i)(3-i)

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A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: -6-3i/8i

A: The given complex expression (number) is: -6-3i8i  To simplify this, multiply the complex number i…

Q: Simplify the following: 3+7i 1. (4 + 2i) + (–3 – 51) 2. (–3 + 4i) – (5+ 2i) in standard form 3.…

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Q: Ims.jazanu.edu.sa 0. Find the square root of z =-15-8i. O (A) -1+ 4i, 1+4i O (B) -1+ 4i, 1– 4i (C)…

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Q: Find the quotient zi lza in standard form. 2= 3-3i, 22=1-i

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Q: write your answer in a + bi form. (3 + 4i)20

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Q: Show that x = 2 + 3i is a solution to the equation x- 4x + 13 = 0.

A: Given:       Quadratic equation  x2-4x+13=0       x=2+3i    this is in the form of ax2+bx+c=0…

Q: What is the quotient of 40+40i and 9-8i?

A: Quotient of 40+40i and 9-8i is given by 40+40i9-8i

Q: Simplify а. (5 — 9i) — (2 -бі) + (3 — 4i) b. (6 – 3i) (2 + Si) (6 – 2i) с. (4 - 3і)? 4: (5 2.

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: (5 + 7i) * (3 – 2i)

A:

Q: What is the quotient when 4 -8i is divided by i3 A) 8+4i -8+4i 8-4i -8-4i

A: 4+8i is divided by i3=-i      4i-8-i)4+8i¯      4+0i_________             8i          -8i_________…

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A:

Q: Simplify 1+i 3 – i (a) 1- i (1+2i)(2+ 2i)+ 1+i - 3 (b) 2i(i – 1) + (V3+ i) + (1+ i)(1+ i).

A:

Q: 2. Simplify completely: (a) √1+i√3 (b) (2 + 3i)¹+i

A: 2. To Simplify: (a) 1+i35 (b) 2+3i1+i

Q: (8 – 3i)(-7– 6i) 3i)(-7 – 6i)

A: Multiply by bracket open And convert to a+ ib form

Q: 2 2 (/8+6i+/8–6i ) = 35 –i

A:

Q: 10)–i (2i² – 5i)

A: