a) Evaluate (1 + 4i)² in the form x + iy. +i b) Evaluate 1 + 5i - 4i7 +6i6 in the form x + iy. +i c) Evaluate 5+7i 1 + i +i in the form x + iy.

Q: (2+3i)2=

A:

Q: Give the conjugate of 13 – 10i

A:

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

A: Solution:

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

A:

Q: 4.7i+6.13i+5.6

A: Step 1:given 4.7i+6.13i+5.6 Step 2: Add 4.7i+6.13i You get 4.7i+6.13i=10.83i   Step 3:Now 10.83i +…

Q: -2i -3 + 8i

A: Answer is mentioned below

Q: (-4+i)-(5-7i)² Simplify 3i

A: We use i2=-1

Q: 7) (2+i)? (-5-14 i)

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: 22) -2 +4i -10-6i

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: Perform the operation and write the result in s (6+4i)(6-4i)

A:

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

A:

Q: Multiply (3 - 2i)(4 + 3i)

A:

Q: (3-5i)-(7-8i)

A:

Q: (1-6i)/(-10+8i)

A: Let

Q: (8+4i)(8+4i)=

A: Given,(8+4i)(8+4i)now,(8+4i)(8+4i) = 8(8+4i)+4i(8+4i)

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

A:

Q: Determine (1+4i)(5+i)

A: We need to multiply two complex numbers 1+4i5+i Now,  i=-1⇒i2=-1 We will use this in the calculation…

Q: Perform the indicated operations and simplify x2-16 x-4 a) x+3 5x2-45

A: Given : x2 - 16x + 3 ÷ x - 45x2 - 45

Q: Find IAI A= 2 3

A:

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

A:

Q: Determine the product of (1+i) and (1-3i)

A:

Q: 6)(3і — 2) (4i — 5)

A: Given,

Q: (5+4i)(17 – 13i) – (5 + 3i)(17 – 13i)

A: A complex number is a number of the form a+bi with a,b being real numbers. Here a is called its real…

Q: *Find 9/(3-21) (27 + 18 i) /9 O 7/13) - (18 /13)i Ο /13) + (18/13) i O 27 + 18 i Ο Ο Ο Ο O

A:

Q: 6. Simplify: 3+ 2i 3-21

A:

Q: Rewrite the expressions in terms of i: a) -v(-5) b)(-V(-24))v6

A: SInce multiple questions are asked, I am answering the first question with both subparts.

Q: What is the simplifies form of (11 - 7i) - (-3 + 12i)

A:

Q: a. (-4 + i)(2 – 5i) b. 2i(8i – 6) 9-i C. 3-41

A:

Q: What is Im (i (3 + 2i) (7 +5i))?

A: Given that the complex number Imi3+2i7+5i   .