(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: Add / subtract: A) (-1+ 2i) + (-2 + 5i) B) (2-3i) - (-2+ 3i)

A:

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

A: Multiply by the conjugate of the denominator

Q: PWrite the following numbers in a + bi form: -1- 3i (a) 5 – i + i, | 4 -5 + (b) + i, 2i 4i (c)…

A: a Given expression is −1−3i5−i. We have to write the given expression in a+bi form. Rationalize the…

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: (-4+i)-(5-7i)² Simplify 3i

A: We use i2=-1

Q: Find the matrix of the linear transformation that sends a vector to its reflection to the plane x1 –…

A: To find : matrix of the linear transformation that sends a vector to its reflection to the plane…

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

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: Simplify: а) (4 — 3) + (6 + 25) e) (5 – 3i) – (-8+ 7i) f) (4 – 2i) (3 – 5i)

A:

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

A:

Q: Simplity-5--44. O-5-41 O-5-4i11 O-5-2111 O-5-2/11

A:

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

A: Let

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

A:

Q: (5-5i)· (-3+ 5i)

A: Given : 5-5i·-3+5i

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: Write the following numbers in a + bi form: -1 - 4i + i, -2 – 3i 1 -3 + i, 3i 4i =) (i)³ + i. +

A: Topic:- complex number algebra

Q: AS: の4+o4i (3-i)(I-2i) (2+i)(1+2i)

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: Simplify the expression to a + bi form: (1+ 7i) + (4 – 10i) -

A: The given expression is 1+7i+4-10i.

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

A:

Q: A) 1-2リ 1. =6 25 (1-2i)? (1+2i)²

A: We know that (i)^2 = -1

Q: Evaluate (1+ i)6 + (1 – i)³. Select one: Oa. -2 – 10i O b. 2- 10i OC. - 2+ 10i O d. 2+ 10i

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

A: