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

Q: Visualize the addition of ( 3+ 8i) + (4 – 4i) by plotting the initial point, and the result. 10+ 6-…

A: Given  (-3+8i)+(4-4i) = (1+4i)

Q: (1+i)·(10260°) (3–7i)+(9Z120°) . Express your answer in rectangular form.

A: This question is based on Complex Number.

Q: Find the product of (2+3i) and (5-4i).

A:

Q: Reduce the quality 5i to (1-i)(2-i)(3-i) real number.

A: Now we reduce the quality  5i(1-i)(2-i)(3-i) to real number.   5i(1-i)(2-i)(3-i)…

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

Q: (1+i)·(10260°) (3–7i)+(9/120°) . Express your answer in rectangular form.

A:

Q: 3. The complex computation (6+2i)(6–21)–(3–4i)(3+4i) can be simplified to (1) 15 (3) –10 (2) 39 (4)…

A: Given: 1) (6+2i)(6-2i)-(3-4i)(3+4i) 2) 7-i3+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: (1+7i) а. 2i(4-i)

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Which of the following is the standard form for the product of (2 + 3i)(2 3i)?

A:

Q: If A = [2 i 9+ 4i 1 3 + 3i then

A: Given: A=2-i9+4i13+3i

Q: Perform the indicated operations and express your answer in the form a + bi. √ (4 + 3i) (3i - 4)

A: Given expression is 4+3i3i-4. To perform the indicated operations and express answer in the form…

Q: Evaluate the sum or difference, and write the result in the form a + bi. (5 - 3i) + (-4 - 7i)

A: Our AIm is to evaluate the expression given below:-(5-3i)+(-4-7i)  -(i)

Q: 3. Elizabeth tried to find the product of (2 +4i) and (3 - i), and her work is shown below. (2+…

A: To identify the error in the problem and to find the product of (2+4i)(3-i)

Q: Compute: 19 (4-2i)(4+2i)

A:

Q: 11. Show that 1 + 4i is a root of the equation 2z3 - 3z2 + 32z + 17 = 0. Hence, find all the roots…

A: Answer

Q: Find the product of - 5 2i and its conjugate. |

A:

Q: Express z =1/(2+5i) in the form a+ib.

A: Given:

Q: 10+201 2 3+ 4i (10+5i)(16-201)

A:

Q: 10/3-4i=?

A:

Q: Perform the indicated operations and express your answer in the form a + bi. √ (3 + 4i) (4i - 3)

A: The given expression is 3+4i 4i-3. Simplify as follows.

Q: What is the sum of 2 + 3i and -1 + 7i? A 1+ 10i 3 – 4i

A: here we want to add 2+ 3i and -1 + 7i

Q: Use the method of difference tables to find a closed formula in terms of n for the > i(2i – 1).

A:

Q: (2+3i )( 3+2i) Express in the form of a + bi. 4-3i

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Q: [(5+ 2i)(-1+ 4i) – 5260°]*

A:

Q: a+bi 26 19) Expressed in form, 2-3i is equivalent to

A:

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

A:

Q: Express the product (3 + 2i)(1 – 3i) in a + bi form.

A: Here we will use the product of two complex numbers

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

A:

Q: 43 Explain in detail with at least two sentences how to represent the difference of z1 and z2…

A: Given data ÷ Z1=8 - i and Z2=-9 + 2i

Q: 4Q Express 2= (1+2i)² 7-i in the form a + ib where a and b are real numbers.

A:

Q: 4. Simplify 3- 2i / 1+i into the form a + bi 5. If 2 - a – 5i / (1 – bi) = 3 – 5i, find a and b

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems.These are…

Q: Solve for x if there is more then one solution separate with commas 3x^2+15x=0

A: Given query is to find the values of x .

Q: Evaluate the sum or difference, and write the result in the form a + bi.

A: we have to evaluate the sum and write the expression in a+ i b (22) (3-2i)+-5-13i

Q: 5) (2i – 4) – (6i + 8) -

A:

Q: Find the quotient of (2√3+2i)(-4+i) 2 (1-√3i)

A: Solution

Q: Simplify and express in a + bi form: (12 + 3i) – (3 – i) 2.

A: 2. We need to simplify the following complex number expression 12+3i - 3-i

Q: If 2-a-5i/(1-bi) = 3 - 5i, find a and b

A:

Q: Explain in detail with at least two sentences how to represent the sum of z1 and z2 geometrically,…

A:

Q: Express (5 – 3i)3 in the form a + ib.

A:

Q: Solve for x in x² + 12 < 7x. а. b. Find all possible values of x if one of the interior angles of a…

A: Given query is to find the value of x .

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: Express (3-5i)(1+i)/4+2i in the form of a+ib.

A: Let  Z = a + ib

Q: Evaluate and express in rectangular form: (1 + 2i) (4 - 6i^2) *

A:

Q: 9. Express (3 – 2i)² in a + bi form.

A:

Q: Solve the following expression in the form of a+ bi : i) (-3+4i)(7–1li) 11-2i -2-5i 2+3i 1 +. 2-3i…

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

Q: 5 Solve for x in simplest a + bi form: x+ 8x + 25 0

A: The quadratic equation is given by x2+8x+25 = 0 To evaluate : The value of x

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

A:

Q: u^2 + 2u +1 = -72 - 54i

A: Given : u2+2u+1=-72-54i ⇒u+12=-72-54i⇒u+1=-72-54i⇒u=-1+-72-54i             1