Use DeMoivre's Theorem to find the following. Write your answer in standard form. -8 – 8i3 8+8i -16 – 16i3 O 16-/3 + 16i 18+18i

Q: Find real numbers a and b such that the equation is true. a + bi = 9 + 8i

A: A complex number is a number of the form a+bi where a,b are both real numbers. In this form the…

Q: 5(2-3i) – 4(4+6i)

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Q: Perform the indicated operation. Show all work possible. (-4+5i) -(6-9i)

A: a+ib +c+id = (a+c) +i(b+d) a+ib-(c+id) =(a-c) +(b-d)i

Q: Find the following product and write the result in standard form, a +b i. (-8+5i)(1+ i) (-8+5i)(1 +…

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Q: Evaluate the product, and write the result in the form a + bi. (5 - 3i)( 1 + i)

A: To evaluate the product

Q: Evaluate the expression (3 + 4i)( – 2 – i) and write the result in the form a + bi.

A: We will multiply it directly.

Q: Perform the indicated operation. Write the result in the form a + bi (2-3i)(4 + 7i) 3+2i 9) 5-3i

A: Explanation of the answer is as follows

Q: Evaluate the expression (8 +3i) + (7 – 6i) and write the result in the form a + bi.

A: Given : (8 + 3i) + (7 - 6i)

Q: Find the quotient of z1 & z2, leave answer in trigonometric form: z1 = 2 – 3i & z2 = 1 – V3i

A: Introduction: Division is also performed between two complex numbers. But in order to convert the…

Q: Evaluate the expression (4+2i)(−2+1i)(4+2i)(-2+1i) and write the result in the form a+bia+bi.

A: a + ib = 100 +0i

Q: 5. Simplify to a C. Write answers in the form a + bi a, beR (m) (6- 5i)2 4+i (n) 3 – 2i 5+ 3i (o)…

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Q: 5. Simplify to a C. Write answers in the form a + bi a, beR (g) (1+3i)(1 – 4i) (h) (5 – 2i)(-1+ i)…

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Q: Find w a +bi = Vz, where a and b are real numbers. -21-20i

A: Given :  -21-20i

Q: If A=(3−2i1+i2−i−2+3i),findA=3−2i1+ii2−i−2+3i,find, find a.AT

A:

Q: 5. Simplify to a C. Write answers in the form a + bi a, b eR (i) (3 – 5i)(3+ 5i) (k) (3 – i)? (1)…

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Q: (a)     (7 − 6i) + (8 + 7i)

A: problem related to arithmatic operation of complex function

Q: Find w=a + bi = Vz , where a and b are real numbers. 24+10i W = W

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Q: Let a = – 4i – 5j and b – 7i + 3j. Find a - b

A: we have  a→=-4i→-5j→ and b→=-7i→+3j→

Q: Perform the indicated operations, and write the result in the form a + bi. (a) (3 – 2i) + (4 + 3i)…

A: (a) 3-2i + 4+3i=3-2i + 4+3i=7 +1i3-2i + 4+3i = 7  +  1i

Q: Simplify the expression to a + bi form: (5 + 2i)(8 + 8i)

A: (5+2i)(8+8i) = 24 + 56i  The detailed solution is as follows below

Q: Evaluate the expression (3 – 2i)(2 + 2i) and write the result in the form a + bi.

A: We know that, (-1)×(-1)=+1(-1)×(+1)=-1(a-b)(c+d)=ac+ad-bc-bd The given expression is (3-2i)(2+2i).

Q: Evaluate the expression ( – 6 + 2i) – (6 + 4i) and write the result in the form a + bi.

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Q: Solve for z, and give your answer in the form a+bi. z+3z = 5-3i+(-25–5i) z = 0

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Q: Perform the indicated operations, and write the result in the form a + bi. (a) (3 – 2i) + (4 + 3i)…

A: To perform the indicated operations and to write the result in the form of a+bi. (a) 3-2i+4+3i…

Q: Express the following in the form a + bi, where a and b are real numbers: 15+8i 00

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Q: Evaluate the expression -4 + 4i)(4 +4i) and write the result in the form a+ bi.

A: We need to

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

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Q: AS: の4+o4i (3-i)(I-2i) (2+i)(1+2i)

A:

Q: Evaluate the quotient, and write the result in the form a + bi.

A: Our Aim is to evaluate the expression below:--3+5i15i-(i)

Q: Evaluate the sum or difference, and write the result in the form a + bi. (3 + 2i) + 5i

A: To evaluate the sum 3+2i+5i and write the result in the form a+ib. Solution: We will add the like…

Q: Evaluate the quotient, and write the result in the form a + bi.

A: Consider the provided expression, 4+6i3i Evaluate the quotient and write the result in the form a +…

Q: Evaluate the expression (8 + 3i) +(- 2 – 8i) and write the result in the form a + bi.

A: Given: 8+3i+-2-8i

Q: Divide the quaternion on the right 5 + 4i− 6j  of the quaternion 3i+j-2k

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Q: (4 – 9i) + (4 – 4i)

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Q: 2. Perform the required calculations and express your answer in the form a + bi. a) (1 + i )6 c) 3-…

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Q: ind all solutions  cos 3x= sqrt2/2

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Q: Simplify the expression to a + bi form: (8+ 8i)(12 – 10i)

A: The objective is to simplify 8+8i12-10i

Q: 1) What are the roots for y= x^2- 4x+13  A) (−4±6i)​/ 2 B) 4 ± 6i C) −4±6i d) −2 ± 3i e) 2 ± 3i…

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Q: Multiply (4-3i)(4+3i) and write the final answer in the phone a+bi

A: The given data is: 4-3i4+3i To write the final answer in the form of a+ib

Q: Evaluate the following expressions, and give your answer in the form a+bi. Use the square root…

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Q: Use de Moivre's Theorem to find the following. Write your answer in standard form. (−2√3+2i)ˆ4

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Q: Find w a + bi = Jz, where a and b are real numbers. %3D -15+8i W%3=

A: Given: -15+8i And, w=a+bi=z

Q: Subtract and simplify. (8 – 7i) – (9 – 9i) (8 – 7i) – (9- 9i) =| (Simplify your answer. Type your…

A: Given, 8-7i-9-9i

Q: Evaluate the expression (- 1+ 3i)(2 – i) and write the result in the form a + bi.

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Q: Simplify the expression to a + bi form: (-2+ 10i) + (–5 – 4i)

A: (-2 + 10i) + (-5 - 4i) = (-2-5) + (10i - 4i) = (-7) + (6i) = (-7) + (6)i  Where, a = - 7 & b = 6…

Q: Solve the following equation for x. Let X= 2*. 2* - 40• 2 +256 = 0 X3= (Use a comma to separate…

A: Properties of exponent: 1) if am = an then m=n.

Q: 5. Simplify to a C. Write answers in the form a + bi a, b eR (d) (-1+3i) + (8 – 5i) (e) (6+ 4i) –…

A: Simplification of numbers in the form of a + bi are following:-

Q: (8 – 3i)(-7– 6i) 3i)(-7 – 6i)

A: Multiply by bracket open And convert to a+ ib form

Q: Simplify the expression to a + bi form: (7 – i)(1+5i)

A: