2. Simplify the following: a. (2 + 5i ) + ( 3 – 3i ) b. (3 + 5i ) - (5– 3i ) c. (2- 3i ) (3 + 5i ) d. (4- 3i )?

Q: Perform the indicated operation: (5+2i) x (6-6i)

A:

Q: 1. Simplify: a. 2i68 – 3i-89 + 4i114 i-125 + 2i213 + 3i-314 b. 5i97 - 4195

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: Evaluate (7-3i)(5+5i)

A: The given problem is to evaluate and simplify the given complex expression and expressed in…

Q: Show all your calculations when finding the product of 2 - 6i and 4 - 2i

A:

Q: What is the value of (-3i)(4i)?

A:

Q: Which of the following expressions is equivalent to 2i? Select all that apply. a (2i) (2)

A: Given: x23 Now check:   a)  x32=x132=x13×2=x23 b) x3=x123=x12×3=x32 c) x2x3=x2-3=x-1 d)…

Q: Evaluate (9 + 4i)6

A: Let z=9+4i r=92+42=97 tan θ=49 ⇒θ=0.133π ⇒z=97cos 0.133π+i sin0.133π Now, By De-Moivre's theorem:…

Q: 10 + 5i 4i

A:

Q: Evaluate (2i)3 a) 8 b) –8 с) -8i d) 8i

A: Let z=(2i)3

Q: (10 + 6i)( – 1 – 4i) =

A: Consider 10+6i-1-4i, Multiply the factors term-wise.…

Q: Perform the indicated operations. 3. (4−i)(3+2i) / (1−3i) 4. (7−i)+(−3+2i) /  −1−2i

A: 3) (4-i)(3+2i)1-3i = (4)(3)+(4)(2i)+(-i)(3)+(-i)(2i)1-3i= 12+8i-3i-2i21-3i= 12+8i-3i+21-3i=…

Q: perform the indicated operation and simplify. (-2 - 3i)(4 - 8i)

A: Given expression is -2-3i4-8i.

Q: If A = -2-3i and B = 3+4i. what is A/B

A:

Q: Find the following products.   (-3 + 3i)(-2 +9i)

A: To determine: -3+3i-2+9i

Q: 2. Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work. Answer:

A:

Q: perform the indicated operation and simplify. 5i(3 - 6i)

A: Given :                           5i (3 - 6i)

Q: Simplify the following expressions: (a) (2+6i)+(9-2i) (b) (8-3i)-(1+ 5i) (c) 3(7–3i)+i(2 +2i) (d)…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

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

A:

Q: a) (1 – 8i) – (2 – 7i) b) (1 – 2/)? c) 4 - 31 4 + 3i d) (2/)° – ¡16

A:

Q: A- A-4I2 3 A-4I2= 3. -4 -2 O A-4 Ie -. 3. -4- 2- A-4I2= 4- D not of the above

A:

Q: Simplify the following expression: (5+ 6i) – (8 –3i) -

A: Given: (5+6i)-(8-3i)

Q: Divide (4 + 3i)/(2 - i) (A) 11+10i/5 B) 1+2i

A:

Q: Simplify: a. 2i68 – 3i-89 + 4i114 i-125 b. + 2i213 + 3i-314 5i97 4i85

A: It is known that: i=-1i2=-1i3=-ii4=1

Q: Evaluate (4i)3 b) –64 a) 64i c) 64 d) –64i إختر أحد الخیارات (c) O (b) O (а) О (d) O

A:

Q: Show all your calculations when finding the sum of 4 - 6i and 4 - 9i subtract 5 - 4i from it

A: Simplification Complex numbers

Q: What is the equivalent of reciprocal of (1.2-5i)

A: It is given by 11.2-5i

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

A:

Q: 之= 1+4i

A: Given: z=2+4i We know that if z=a+ib then z is given by z=a2+b2…

Q: 1. Simplify the following expressions а. (213 — 512)? b. i17 – 2i12 + 3i5 + i3 c. 6i31 + 6i24 – 5i14…

A: We have to simplify the given expressions.

Q: Simplify the expression. 2i1995 3i1996 + 5i1997

A: In this, we will use the values as i2 = -1i3 = -ii4 = 1

Q: Perform the indicated operation 18) (4 16i)(4 - i)

A: i have provided solution in step2

Q: . Simplify the expression, (4 – 3i)(-3+ 6i) – (2 – i). Show your work.

A:

Q: add or subtract as indicated. (3 + 2i ) - (5 + 7i )

A: (3 + 2i ) - (5 + 7i ) = 3 + 2i  - 5 - 7i

Q: Find A*. 8i 1- i A = 16 3+i 2+i x - (; ; ) ? ? ? A* = ? ? ?

A:

Q: perform the indicated operation and simplify. (4 - 3i)(4 + 3i)

A: (4-3i)(4+3i)

Q: 1. Simplify: 4 + 3i h) 5 – 2i 6 - 8i g) (3 – 2i)2 i

A: g) 3-2i2h) 4+3i5-2ii) 6-8ii

Q: Calculate  x and y (2+xi)+(y+3i)=7+4i

A: Complex numbers are those numbers which is represented in the form of (a + ib) where is a real part…

Q: Perform the indicated operations. (3-2i)(2- i)-(3 – i )(3+ i)

A: Given,             3-2i2-i-3-i3+i

Q: Calculate: 4+ 4i (a)- -4 – 4i (b) (1 + i)(3 – 2i)(1 – 4i) | - i(4 + 3i)³ (c) (2 – i)²

A:

Q: What is im ) 1+2i 3-4i 1 А. D. 2/5 B.

A:

Q: 2) (-5 +2i) (7i)

A:

Q: What is the quotient of 40+40i and 9-8i?

A: Quotient of 40+40i and 9-8i is given by 40+40i9-8i

Q: Simplify (26 + 18i) / (2 + 6i)

A: Given  (26+18i)/(2+6i) Simply using rationalization factor

Q: b) Im 1-7i 2+5i,

A:

Q: . Simplify the following expressions a. (2i3 – 5i2)2 b. i17 – 2i12 + 3i5 + i3 c. 6i31 + 6i24 – 5i14…

A:

Q: 2. V16230° 3. In(-1 – i) 4. In(4i)

A: The rectangular form is z=a+ib

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

A:

Q: 1. 2i – 3i? + 5i 2 3i5 -+7i - 1012 - 9 3. i

A: