1. Compute the following sums and differences. Also, provide a sketch illustrating the geometric interpretation of each computation. (a) (2-3i)+5 (b) (2-3i) + (3+ i) (c) (2-3i)- (3+i) (d) (2+3i) + (2 - 3i) (e) (2+3i) – (2 - 3i) (f) (2+3i)(3+ i)

Q: (6+3i)(6-3i)

A: topic - multiplication of complex numbers

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

A:

Q: - 6(7q? – 4q + 1) + 5(- q² + 6q - 6)

A:

Q: Multiply. (8-61)(7-81)

A: The given expression is- 8-6i7-8i Open the brackets as follows-…

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

A: Solution:

Q: evaluate (1 – 2i) – (-3+ 4i) O V13e-0.983i O 2V13e -0.983i A O 2 13e0.983i O 13/2e0.983i

A:

Q: (3+ 5i) – (2– i) = T+6i O6i i 27 4i

A: First option is correct

Q: Subtracting (10u³ – 3u² + 4u +9) from (5u² – 7u + 12) the result is O -10u³ + 8u² – 1lu + 3 O 10u³ +…

A: Do the algebraically substraction. Substract the numerical terms of each variables of similar terms…

Q: Determine which of the expressions are equivalent. Equivalent Expressions : (4- i)(5i+ 1) : 10 - (4–…

A:

Q: Find the following product and write the result in standard form, a + b i. (-9+4i)(6+ i)

A:

Q: (a)  Convert the following general expressions to standard SOP form:                           ABC…

A: given general expression is                                              ABC+(A+B)(B+C+AB)

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

A:

Q: Suppose Zı= 4+4i , Z2= 5 +7i. Evaluate (a) 2 Z1– 4 Z2 Z2 (b) 3 Z1

A:

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

A:

Q: a+2)+(b-4)i=6+9i

A: Given that (a+2)+(b-4)i=6+9i a= b=

Q: If find |A| = A = -1-20 [4+4i-1-21] 3-i

A:

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

A:

Q: For each of the following, perform the indicated computation. (a) (5 ỉ – 7j – 7k) – (-6ỉ – 83 + 7k)…

A: To simplify the vectors:

Q: or the following quadratic function defined, (a) use the vertex formula to find the coordinates of…

A:

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

A:

Q: 2 (a) Work out 14 x 4 – 24 ÷ 2. (b) Find a number between 80 and 90 that is a multiple of both 3 and…

A: We have to solve two subparts in the given problem.                        (a) We need to work out…

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: (x-(2+6i)) (x-(2-6i)) multiply

A: Given information:

Q: Find the following products.   (4+7i) 2

A: To solve the given equation.

Q: -1 - i 1. (1 – 3i) ÷ (1 + 2i) is equal to 2. (7 + 4i) ÷ (-3 – i) is equal to (-5 – i)/2

A:

Q: (a) Write the following expression in terms of i, perform multiplication, and simplify V-25 · V-125.…

A: a) We need to write following expression in terms of i , perform multiplication and simplify…

Q: (6 + 5i)4 Calculate: (5 + 2i)4 O (5.25 + 1.3i) O (4.64 - 4.5i) o (2.54 - 6.2i) O (1.37 + 4.2i)

A: We know, i2=-1

Q: 5. a. Simplify the following expression: V-25 + 2i*24+ 4 (i6)² + 19 + 8i| – 4(5+ 6i) v-36

A:

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

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

Q: 2. Simplify the following: a. (2 + 5i ) + ( 3 – 3i ) b. (3 + 5i ) - (5– 3i ) c. (2- 3i ) (3 + 5i )…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Determine the following sums or differences. (a) (7 + 2i) + (4 + 9i) (b) (8 + 9i) – ( – 2 – 5i) (a)…

A: The given expression is                                    (7+2i)+(4+9i)…