2i (7 – i) =

Q: Evaluate the expression and write the result in the form a+bi 2+3i 1+ 2i

A:

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: (-19 – 5i) + (3 + 10i)

A: (-19-5i)+(3+10i)

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: Find the indicated power. Write the answer in standard form. (3 + 3i)³

A:

Q: Subtract and simplify. (10 +9i)- (9+7i) (10 +9i)- (9+7i) = (Simplify your answer. Type your answer…

A:

Q: -3+ (8+2i) +7i =

A: We need to add/subtract.

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

A:

Q: . Multiply by FOIL. Write the answer in the standard / rectangular form. Do not use the trig form:…

A:

Q: Perform the indicated multiplication. - 3i(8 – 7i) - 3i (8 – 7i) = (Simplify your answer. Type your…

A:

Q: Determine the product of (1 + i) and (1–31) A) 4- 2i B) 2 + 4i c) 2- 2i D) 2-4i

A:

Q: Multiply (2 – 3i )(9 – 5i). - Write the result in a + bi form.

A:

Q: 4. Perform the indicated operation and express the answer in simplest a+bi form: a) (-25+…

A:

Q: (SHOW al the steps) 1. Write the complex number i +2 in the form of ret® .

A: Here we use modulus and arg.

Q: 3i 2+5i

A:

Q: -3+ 2i valuate the expression 6i and write the result in the form a + bi.

A:

Q: Evaluate the expression (-9 + 2i) – (4 – 5i) and write the result in the form a + bi. The difference…

A:

Q: 1+ 4i - 5+ 5i Divide: Write your answer in a + bi form a = b =

A: The given equation is- 1+4i-5+5i=-1+4i5-5i Rationalize the equation by multiplying 5+5i both…

Q: Perform the indicated operation. Write the result in the form a + bi.

A: We have to find complex number

Q: Subtract and simplify. (3 – 5i) – (-8 + i) (3- 5i) – (- 8+ i) = | (Simplify your answer. Type your…

A: Given query is to simplify the expression.

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: Perform the indicated operations, writing the result in standard form: a. (5 - 2i) + (3 + 3i) b. (2…

A: Perform the operation

Q: (2-2i√3)4 Write the answer in standard form.

A:

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

A: We need to

Q: Perform the indicated multiplication. Simplify your answer in the form of a + bi. -3i(3-2i)

A:

Q: (16 – 9i) – (2 – 9i) =D

A:

Q: Divide and express the result in standard form: (2 + 3i)/(2 + i)

A: The given expression is (2 + 3i)/(2 + i)

Q: 5 + 3i Divide: Write your answer in a + bi form - 3 + 6i 1 13i 15

A: Divide (5+3i) /(-3+6i) ?

Q: 16- (2-3i)- i= | 28

A:

Q: Multiply (6 - 5i) (4 - i). Write the answer in the form a + bi.

A:

Q: Multiply. (6 + 7i)? (6 + 7i)² = %3D (Simplify your answer. Type your answer in the form a+ bi.)

A: Given that we need to find the value of (6 + 7i)2. As we know that √(-1) = i Therefore  (√-1)2 = i2…

Q: 8. Find the quotient. Write the answer in standard form. 3+4i a. 3-4i -1+i 2+i b.

A: We have, a.  3+4i3-4ib.  -1+i2+i To evaluate: The Quotient in standard form.

Q: Divide and simplify. Write your answer in a+bi form. 2-3i 1. 9+i

A: (a-b)(a+b) = a2 - b2 and i2 = -1  after rationalization we will get  in the form of a + ib

Q: Find the magnitude of the yector v = 2j. %3D Write your answer in simplified radical form. j

A:

Q: Subtract and simplify. (12+4i)- (7+ 21) (12+4i)- (7+2i) = (Simplify your answer. Type your answer in…

A: Given expression is 12+4i-7+2i Subtract the expression, 12+4i-7-2i12-7+4i-2i5+2i Here, a=5b=2

Q: (8+ 3i)? =O

A: Given (8+3i)2 Now. We can evaluate this and express in standard form as shown below

Q: Find zw and z/w. Write each answer in polar form and in exponential form.   z =8+8i w =3−i

A: Given:  Z = 8 + 8i   w = 3 - i

Q: Add (-10 + 6i) + (8 – 3i ). Write the result in a + bi form.

A:

Q: 1 Find the following quotient. Write the answer in the standard form. Do not use the trig form.…

A:

Q: If a = -4 and b 5x + 2i, then find the value of a°b in fully simplified form. %3D

A: Given: a=-4 b=5x+2i a3b

Q: -3+4i 2) (5 pts) Divide: Show your work. Write your answer in the form a+bi. -9+i

A:

Q: 9) Simplify, then write your result in standard form: (6 + /-9) – 2i + 10 – J16. (a) 16 - 3i (b) 13…

A:

Q: m the indicated oper 12) (4 + 9i) - (-3 + i)

A:

Q: Perform the indicated operations. Simplify results in rectangular form. 23 – 2i 1-iV3 a.)…

A:

Q: Find the following quotient. Write the answer in the standard form. Do not use the trig form. HINT:…

A: Multiply and divide with the conjugate of the denominator and simplify.

Q: Find the quotient of 4+i15 and 2 – i, where i represents the imaginary unit. Leave your answer in…

A:

Q: 4 – i -1 – 3i and write the result in the form a + bi. Table Answer:

A:

Q: -1+ 5i Divide: Write your answer in a + bi form. 7 – 5i - a b II

A: