1. Compute the following sums and differences. Also, provide a sketch illustrating the geometric interpretation of each computation. (a) (2-3i)+5 (b) (2-3i) + (3+ i) (c) (2-3i)- (3+i) (d) (2+3i) + (2 - 3i) (e) (2+3i) – (2 - 3i) (f) (2+3i)(3+ i)

Q: (a) 2122 + 22Z3 + 2321 (b) (c) Re(z) +Im(2?

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

Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

Q: Find the value of a) (n (hi) bln (3 ti√3)

A:

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

A: To find the value of q such that,  3+4i1+2i1+3i=q1+i

Q: 1. Simplify the complex mumbers below. i (3+ 5) + (10-14) i. (3+5) - (10 -14) i. (3+ 5)(10-14i)

A: According to the given information it is required to simplify the complex numbers given in each…

Q: a.) (3 - 4i)(2 + 5i) 10/60 + 20/-45

A: Solution:

Q: Multiply. (2√2-3√5) (2√2+3√/5)

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: (3+ 5i) – (2– i) = T+6i O6i i 27 4i

A: First option is correct

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

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Q: Find the following product and write the result in standard form, a + b i. (-9+4i)(6+ i)

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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: Find the product and write the result in standard form (-7- 9i)(3+ i)

A: Given query is to find the the product of the complex numbers.

Q: Find each sum or difference. Write each an 9. (10 + 8i) + (6 + 4i) = 10. (9 + 5i) – (3 – 8i) = 11.…

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Q: (a) Simplify the following () 62 (i) V-180 (b) For the complex numbers 21 = 8+ 15j and z2 =-3 + 8j,…

A: →j2 = -1→j4 =j2 × j2 = -1×-1 =1             So, j4k =1 , where k is any natural number.→Let z= x +…

Q: For Exercise, write the domain of the function in interval notation. Зх — 5 p(x) 2x + 5x – 7

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Q: (1-6i)/(-10+8i)

A: Let

Q: Simplifica cada producto.(Simplify each product.) (7-10) 7) (4i – 3)(2i + 7) 8) 3i(2i? + 4) 9) (i –…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

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

A:

Q: for i=√-1, what is the sum (7+3i)+(-8+9i)

A: If z1 = a1 + b1i and z2 = a2 + b2i Then z1 + z2 = (a1 + a2) + (b1 + b2)i

Q: |Write the following numbers in a + bi form: -2 – 5i (a) -1+ 2i + i, -1 -5 + 3i (b) i, 5i (c) (–5i)³…

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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: What is the difference of (-3+2i) and (6+3i)?

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Q: or the following quadratic function defined, (a) use the vertex formula to find the coordinates of…

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Q: Determine the product of (1+i) and (1-3i)

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Q: (5+4i)(17 – 13i) – (5 + 3i)(17 – 13i)

A: A complex number is a number of the form a+bi with a,b being real numbers. Here a is called its real…

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

A:

Q: Find the following products.   (2 + 6i)(2 - 6i)

A: Given:2+6i 2-6i

Q: -1 - i 1. (1 – 3i) ÷ (1 + 2i) is equal to 2. (7 + 4i) ÷ (-3 – i) is equal to (-5 – i)/2

A:

Q: 2. Simplify the following: a. (2 + 5i ) + ( 3 – 3i ) b. (3 + 5i ) - (5– 3i ) c. (2- 3i ) (3 + 5i )…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Determine the following sums or differences. (a) (7 + 2i) + (4 + 9i) (b) (8 + 9i) – ( – 2 – 5i) (a)…

A: The given expression is                                    (7+2i)+(4+9i)…

Q: Simplify (7 + 3i) 2 [(2 + i) 2 (3 - 4i)].

A: Given, (7+3i)2(2+i)2(3-4i)