(2-i)(5+31) = 7+2i O 3+4i 0 14i O 13+iO

Q: Write each of the following in standard form.(a) (1 + 4i ) / (5 - 12i )(b) ( 2 - 3i ) / (4 - 3i)

A: a) Given that,  1+4i5-12i Simplification: 1+4i5-12i=1+4i5-12i×5+12i5+12i                Rationalize…

Q: V-25+ 2iº5+3(i6)' + |9 + 8i| – 4(5+ 6i) v-36

A:

Q: Divide (3 - 4i)/(4 + 3i) and express the result in standard form.

A: Multiply by the conjugate of the denominator

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: Simplify (6 - 3i) + [(4 - 2i) - (3 + i)].

A:

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

A:

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: Multiply/Divide a) divide -27 • divide -27 b) (1+5i) (1- 5i)

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: 4+ 3i 3 — 5і (b) 2+ 3i 2 – 3i

A:

Q: 5 √O r=1+3 cos(30) (-/-) r= - r = 5 sin V r = 0 sin(0) a. + T b. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬ a 5. 9 Q

A: Consider the polar equations 1.

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

A:

Q: (5i)-(2i)-(8+4i) simplify

A: (5i)-(2i)-(8+4i) simplify

Q: (3 + 7i) 2 – 3i)

A: Follow next step

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: (5-5i)· (-3+ 5i)

A: Given : 5-5i·-3+5i

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: |Write the following numbers in a + bi form: -2 – 5i (a) -1+ 2i + i, -1 -5 + 3i (b) i, 5i (c) (–5i)³…

A:

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

A:

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: If A = -2 - 3i, and B = 3 + 4i, what is AB?

A:

Q: Multiply and Simplify (5 + i) (4 - 7i)

A: simplify the expression.

Q: (2+3i) 2= 3-4i O -5+12i o 7i o -5+i o

A: 2+3i2

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: Simplify the expression to a + bi form: (-9 – 8i) – (–4+ 5i)

A: We will express this expression in the standard form of complex number a+ ib. We will add real and…

Q: Find the quotient. Write the answer in standard form. 5+4i 3+6l

A:

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

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