In Exercises 51-56, perform the indicated operation(s) and write the result in standard form. 51. (2 – 3i)(1 – i) – (3 – i)(3 + i) 52. (8 + 9i)(2 - i) - (1 - i)(1 + i) 53. (2 + i)? - (3 - i 54. (4 – i) - (1 + 2i) 55. 5V-16 + 3V-81 56. 5V-8 + 3V-18

Q: 3. i 5. (5 -91) + (2- 4i) 7. i(5+ 7i) 9. (2 - 3i)(4 + i) 4 i" 6. 3(4 - i) - 3(5 + 21) 8. i(4 – i) +…

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Q: V-25+ 2iº5+3(i6)' + |9 + 8i| – 4(5+ 6i) v-36

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Q: Multiply. (8-61)(7-81)

A: The given expression is- 8-6i7-8i Open the brackets as follows-…

Q: (2+3i)(5-i) Simplify (3-2i)2

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Q: 7. Find the product. Write the answer in standard form. a. (-4+2i)² b. (4+7i)(-2-5i) c. (6+8i)…

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Q: こ ( 6n +1 (b) Σ (-2i)". Is it entire? 2n +5

A: Here,  we need to find the radius of convergence for the given series. Also, we will check whether…

Q: c. 6.071 x 10-5-8.2x 10-6-0.521 x 10-4 d. (3.8 x 10-12 + 4.0 × 10-13)/(4 x 10¹2 + 6.3 × 10¹3)

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

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Q: Determine the product of (1 + i) and (1–31) A) 4- 2i B) 2 + 4i c) 2- 2i D) 2-4i

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Q: 4+ 3i 3 — 5і (b) 2+ 3i 2 – 3i

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Q: (3 - ) (2 + 3i) 17. 1 + i (1 + ) (1-21) 18. (2 + i) (4 – 3i)

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Q: Multiply (3 - 2i)(4 + 3i)

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Q: How do I plot -7+i and 8-6i os it on the -7 and 8 since -6 is on th imaginary line

A: To plot these complex numbers, we need to draw a complex plane.Complex Plane: Here, X-axis is the…

Q: (5i)-(2i)-(8+4i) simplify

A: (5i)-(2i)-(8+4i) simplify

Q: 1 0 F= 0 1 0 0 00 01 1 14 G= >= [4] 3 2 H = 1 7-i 5+6i 7+i 5-6i 4 3i -3i 2

A: Please find attachment below.

Q: a+2)+(b-4)i=6+9i

A: Given that (a+2)+(b-4)i=6+9i a= b=

Q: 13.) An expression is shown: 3(1 + 2) + (5 + 2)². Simplify the expr

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Q: 11. (2 + 3) 12. (1 - 5 2 13. 14. 1 + i 2 - 4i 15. 3 + 5i 10 - 5i 16. 6 + 2i

A: follow next step

Q: (1+2i)² (3–5i)-i? + (3+17i) Evaluate, 5.

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Q: Write the expression as a complex number in standard form. I) (-8 + 8i) – (2 + 4i) 2) (8i) + (-4 -…

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Q: 21. i(1 - )(2 - )(2 + 6i) 22. (1 + i)^(1 – ³ 1 23. (3 + 61) + (4 - i)(3 + 5i) + 2 - i 2 - i 1 + 2i…

A: To solve given complex numbers

Q: *Find 9/(3-21) (27 + 18 i) /9 O 7/13) - (18 /13)i Ο /13) + (18/13) i O 27 + 18 i Ο Ο Ο Ο O

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Q: 6. Simplify: 3+ 2i 3-21

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Q: Write the following complex expression in Cartesian from. Simplify as much as possible.(/bar…

A: The objective of this question is to simplify the given complex expression and write it in Cartesian…

Q: How do I multiply (2+3i)(4+6i) and what is the answer in its simplest form

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

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Q: a. (-4 + i)(2 – 5i) b. 2i(8i – 6) 9-i C. 3-41

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Q: Yz 3-4i, what is in standard form a + ib? 3. 3 (a) 4. (b) 3+ 4i (d) -- (c) -3+ 4i (0) 25

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Q: 6- The Conjugate of 4+3i =-(4+3i)

A: The objective is to find the conjugate of (4+3i).

Q: (a) Simplify i*+1 in real and imaginary parts.

A: As there are two questions given ,i only do the first.

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

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

Q: 3/2-4i -(3+2i)

A: Note -  You have not used bracket in first part so I have solved the question in two ways. Check the…