Write in the form x+yi: 2+3i (a) 1+i -4+3i (b) -2 -i 4i (c) 2-i 1 (d) 2+3i 3- 2i (e) i p+qi (f) r+si

Q: Simplify completely:  (−5+3i)−(6−i)

A: Proceed as shown...

Q: (6+3i)(6-3i)

A: topic - multiplication of complex numbers

Q: Add / subtract: A) (-1+ 2i) + (-2 + 5i) B) (2-3i) - (-2+ 3i)

A:

Q: Multiply 3i(2-3i)

A:

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

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Q: (2+3i)2=

A:

Q: Simplify the expression -i+ (7+ 8i) 2i(-6+2i) + - 1-i to the form a + y · i where a and y are real…

A: The given expression 2i-6+2i+-i+7+8i¯¯1-i. Simplify the expression 2i-6+2i+-i+7+8i¯¯1-i in standard…

Q: Write 1/ (3 + 4i ) in standard form a + bi; that is, find the reciprocal of 3 + 4i.

A:

Q: Simplify and write in standard form: (6+ 2i)(-9+ 12i) – 2i(1+ 4i)

A: topic - complex numbers

Q: Write (3+2i)^4 in the simplified a+bi form

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Q: Simplify (6 - 3i) + [(4 - 2i) - (3 + i)].

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

A:

Q: Simplify the expression to a + bi form: (-8 — 2:) + (8 — і)

A: (- 8 - 2i) + (8 - i) = (- 8 + 8) + (- 2i - i) = 0 + (- 3)i  So, a = 0 &, b = - 3

Q: multiply (5 + 2i)(4 - 3i). please show all the work used to multiply.

A:

Q: (-4+i)-(5-7i)² Simplify 3i

A: We use i2=-1

Q: Multiply/Divide a) divide -27 • divide -27 b) (1+5i) (1- 5i)

A:

Q: Divide and express the result in standard form: 5i /(2 - i)

A: The given expression is 5i2-i

Q: Divide and express the result in standard form: (7 + 4i) / (2 - 5i).

A: 7+4i2-5i

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

A:

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

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

Q: (5-5i)· (-3+ 5i)

A: Given : 5-5i·-3+5i

Q: Determine (1+4i)(5+i)

A: We need to multiply two complex numbers 1+4i5+i Now,  i=-1⇒i2=-1 We will use this in the calculation…

Q: Simplify and express in standard form: 1-5i/1+5i

A:

Q: Simplify: (4i)3

A: Distribute the cube

Q: Perform the indicated operation(s) and write the result in standard form. (2 - 3i)(1 - i) - (3 -…

A: Given 2-3i1-i-3-i3+i

Q: (7i)(7i)(5-6i)

A:

Q: (x-(2+6i)) (x-(2-6i)) multiply

A: Given information:

Q: Rewrite the expressions in terms of i: a) -v(-5) b)(-V(-24))v6

A: SInce multiple questions are asked, I am answering the first question with both subparts.

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: simplify the expressions a) (1+3i)/(2-i) b) (2-i)/(2+i)

A:

Q: Find the product and write the result in standard form: (7 - 5i)(-2 - 3i)

A: Given: z=7-5i-2-3i given product can be find as below z=7-5i-2-3i=7-2-3i-5i-2-3i=-14-21i+10i+15i2…

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…

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…