If a +bi and c+ di represent two complex numbers with real components, a, b, c and d, then which of the following represents the imaginary part of their product? (1) ас - bd (3) ab+cd (2) ad – bc (4) bc + ad

Q: 4) Add or subtract the following complex numbers. (2+31)-(5-61)= Multiply the complex numbers and…

A: Given query is to perform indicated operation.

Q: Suppose the complex numbers x and y satisfy the following equations: xy - y² xy + 2x² = = 3 1 (A) 8…

A: Answer is D. 16

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

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

Q: Explain and demonstrate the multiplication of complex conjugates using 2 + 3and its complex…

A: Given : 2+3i

Q: Prove that x¹ + 1 = (x² + √2x+1)(x²-√2+1). the complex numbers. Find similar factorizations for 78…

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Q: Let a be a complex root of x³ + 2x + 6. Find the inverse of a² + 2a + 1 in the form d + ba + ca², d,…

A: We have to find the inverse in the given form.

Q: What is the cartesian form of the complex number: (-1-i√3)-4

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Q: What is the multiplicative inverse of the complex mumber z = 2-5i? 2 В. 29 29 c (1) D. (;=) А. C.…

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Q: amplify the following comp (a) (3+53)(3+23) (1-73)(7+13) (b) (c) (a + b)(a + c)

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Q: Which operation involving complex numbers requires the use of a conjugate?(a) division (b)…

A: The conjugate of a complex number a + bi is the complex number a - bi. If a complex number is…

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: 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: Lin says, "When you add or multiply two complex numbers, you will always get an answer you can write…

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Q: 60 6-V-8 5. 6. 4 + V-25 -2

A: We have to simplify the complex numbers. 4. i460 5. 6--8-2 6. 4+-25

Q: 1. Perform the indicated operation, your final answer should be written in the form a+bi, are real…

A: I have solved first part for other part repost question

Q: 2.2 Simplify the complex power ()-“ and leave your answer in its simplest form.

A: Given 1+i1-i-2i

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

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Q: Are operations with complex numbers similar to operations with polynomials?

A: When a negative number is expressed inside the square root operation, the imaginary unit i=-1 is…

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: Simplify the complex power [(1+i)/(1-i)]-2i  and leave your answer in its simplest form.

A: Use the following formulae, to obtain the solution.…

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

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Q: 6. Write the complex number is standard form (a + bi) 14- V-98 -7

A: As we know from the radical rule: -a=-1a   Given: 14--98-7

Q: The below diagram shows 4 of the 5th roots of some complex number z. Drag the green dot to the…

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