Determine which of the expressions are equivalent. Equivalent Expressions : (4- i)(5i+ 1) : 10 - (4– 3i) + 7i : (23i – 2) - (4i – 11) : 6(3+5i) : (16i + 3) + ( 4 + 7i) :: 7i(2 +2i) + (23 +5i)

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 the sum or difference, and write the result in the form a + bi. (-4 + i) - (2 - 5i)

A: To evaluate the difference

Q: Find the square root of z =-15-8i. (A) -1+4i, 1+4i O (B) -1+ 4i, 1– 4i O (C)-1-8i, 1+ 8i O (D) -1+…

A: Given: z = -15 -8i To find: Square root of given complex number z

Q: 3+2i Evaluate 4-i

A: The given complex number is 3+2i4-i. The conjugate of the denominator is 4+i.

Q: (5 – 6i) – (3 – 2i)

A: We have to perform the subtraction between two complex numbers.

Q: Simplify the expression to a + bi form: (-6 – 9i)(-11 +7i)

A:

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

A: Let z=(2i)3

Q: Evaluate: 3i - 1 i=1

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: let a=2+7i b=4-2i Choose the correct result of a/b*

A:

Q: Add or subtract as indicated and write the result in standard form. (3 + 2i) - (5 - 7i)

A:

Q: Evaluate -1 8i+9 i=1n²

A:

Q: Evaluate the sum or difference, and write the result in the form a + bi. (-12 + 8i) - (7 + 4i)

A: Consider the difference -12+8i-7+4i To simplify it further remove the parentheses and distribute the…

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: 7) Perform the operation and write the result in standard form. 3-2i 4+i

A:

Q: Simplify 2i - 7i + 10 91+10 -51+10

A: we have to simplify 2i-7i+10

Q: Let z1 = 5 + 3i, z2 = 5 – 3i, and z3 = 4 + 2i. Find the following. (Simplify your answer…

A: Simply add and multiply the given data.

Q: Multiply. 9i – 9i • 2i

A: Given,          -9i·2i

Q: Peform the Operation

A: Given complex number The standard form of a complex number is Where a is real part and b is an…

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

A:

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: (3+5i)- (2-1)- 1+6i o 1-6i 6+i 2-4i C

A: When two complex number are added, the real parts are added with each other and the imaginary parts…

Q: Let z1 = 2 + 3i, and z2 = 2 – 3i. Find the following. (Simplify your answer completely.)

A: here Z  is a complex variable Z = a+bi here a is real number and b is imaginary number detailed…

Q: Simplify: (3 + 2i) (4 - 5i)

A: (3+2i)(4-5i)

Q: find the product of (4-2i) and (4+3i)

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

A: It is given by 11.2-5i

Q: 12) (3 + 2i) + (5-3i) 13) (4 + 2i) (3 - 2i)

A:

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

A: Solution

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

A:

Q: If a = 2i+3j -4k and b 7i-10j +9k find a b. a b ||(Simplify your answer.)

A:

Q: Evaluate (3i)(2i)

A: a)   From the given problem:   Z=(3i)(2i)   As we know that,  i2=-1.   So,   Z=(3i)(2i)=6i2=6-1=-6…

Q: Find the sum or difference. Write in standard form.  (4-7i)+(-8+2i)+2i

A: We need to find the sum of the given complex numbers

Q: Perform each operation. Write answers in standard form.5. 11 - i2 - 13 + 4i2 + 2i 6. 12 - 5i2 + 19 -…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: True or False The conjugate of 2 + 5i is - 2 - 5i.

A: The conjugate of 2+5i is -2-5i. The given statement is false.

Q: Find (3+2) - 2i . 406 754 386

A:

Q: Simplify the following: 3+7i 1. (4 + 2i) + (–3 – 51) 2. (–3 + 4i) – (5+ 2i) in standard form 3.…

A:

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

A: Given,             3-2i2-i-3-i3+i

Q: (Зл — 1)! Simplify. 2!(3n + 1)!

A:

Q: Find the following products.   (3+7i) (3-7i)

A: Find the following products.     (3+7i) (3-7i)

Q: Multiply. (4 + 8i)(4 – 8i)

A:

Q: 3. Let a = -4+ 9i and 7 – 4i. Write each each expression i а. а + b b. а — b с. аb

A:

Q: Perform the operation and write the result in standard form. (16 – 6i) + (-7 + 9i)

A:

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: multiply. express your answer in the form (a+bi) 3i(9-4i)

A:

Q: 2. Simplify completely: (a) √1+i√3 (b) (2 + 3i)¹+i

A: 2. To Simplify: (a) 1+i35 (b) 2+3i1+i

Q: Simplify -6i(8-6i)(-8-8i) show ALL steps!

A: A unit imaginary number i is defined as, Given equation: The given imaginary number is,

Q: Simplify 1– 2i (1 – ) o 3 + i o 3 - 2i o 1 +2i o 2 - 3i

A:

Q: -7+7i Divide: 3+5i

A: Given expression is -7+7i-3+5i

Q: A. Perform the giv 1. ( 4+ iV3 ) (3 – 2i) 2. 4i ( ) (3+3i 3V3-2i 3. 2-iv3 120 5. 3(-

A: Explanation of the solution is given below...

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.