(2+i)(1+3i) - 2+ 4i =

Q: Calculate: 4+ 3i (a) -1- 3i (b) (1 + i)(3 – 4i)(4 – i) = i(2 + 2i)³ | (c) (3 – 2i)² ||

A: Given that: (a)4+3i-1-3i(b)(1+i)(3-4i)(4-i)(c)i(2+2i)3(3-2i)2   NOTE: As per our answering…

Q: 1. Simplify: a. 2i68 – 3i-89 + 4i114 i-125 + 2i213 + 3i-314 b. 5i97 - 4195

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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: 4i(2+5i)(2-i)

A: Given multiplication, 4i(2+5i)(2-i)

Q: (2+3i)(5-i) Simplify (3-2i)2

A:

Q: What is the value of (-3i)(4i)?

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

A: Solution:

Q: Simplify. (-2+4i)(- 3 + 2i)

A:

Q: Simplify (2 – 3i)²

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Q: 15 (-4i + 2) =

A: We have to solve : 15.(- 4i +2) = ?

Q: Perform the indicated operations and express your answer in the form a + bi. √ (4 + 3i) (3i - 4)

A: Given expression is 4+3i3i-4. To perform the indicated operations and express answer in the form…

Q: (-5 + 3i) (-3 +6i)

A: To simplify the given expression.

Q: 5i^4+3i^2+4i^7-4

A:

Q: Find x and y so that the following -2-7i =x+ yi equation is true:

A: Given -2-7i=x+yi

Q: Find (1 – 3i)(2 – 2 i) in real-imaginary form.

A:

Q: 3¢i – 40i-1 + Pi-2 дх 2Ax

A: In this question, we use the Taylor series expansions to derive the three-point scheme for the first…

Q: i/-1+3i

A: Given  that ,  let  z = 8i-1+3i  We have to change it in the Standard form of  complex number a + i…

Q: (4– 2i) (2+5i)

A:

Q: 1+3i +2-5i = (1+i)10 =

A:

Q: Perform the indicated operations and express your answer in the form a + bi. √ (3 + 4i) (4i - 3)

A: The given expression is 3+4i 4i-3. Simplify as follows.

Q: 69. 3i(2 – i)?

A: Consider the provided question, Given expression, 3i2-i2 Find the product of the above expression.

Q: 2. 8i = (x + 2i) (y+ 2i)+1

A:

Q: 2) (2i-4)²

A:

Q: 2. -2i3 + 2i18 – 3i 51 3 3134 – į13

A:

Q: 6 + 2i 3. 1 + 2i

A: 6+2i1+2i* 1-2i1-2i=10-10i5= 2-2i

Q: Simplify: a. 2i68 – 3i-89 + 4i114 i-125 b. + 2i213 + 3i-314 5i97 4i85

A: It is known that: i=-1i2=-1i3=-ii4=1

Q: 3+4i30 -2+i 2-i 5

A: To prove the equation 3+4i302-i=-2+i5 to prove it start from the left hand side and deduce the right…

Q: (5i-3)(5i+3)

A: To determine the product.

Q: (b) (1 + i)(3 - i)(3 – 4i)(4 – 2i) |i(1+2i)³ (c) (2 – 4i)2 |

A: To evaluate the given expression.b 1+i¯3-4i4-2i=?c i1+2i32-4i2=?

Q: z -4 + 3i| = 5

A: Given: z-4+3i=5

Q: A) 1-2リ 1. =6 25 (1-2i)? (1+2i)²

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

Q: [2-3i 5 + 8i 3 – 7i | 9. Find (2 + 3i) A if A = -4 L-6- i 5i

A: We can solve this as follows:

Q: 5) (2i – 4) – (6i + 8) -

A:

Q: -1+5i -i

A: topic- complex numbers  real part is added and subtracted with real part and imaginary part is added…

Q: (1 +i)(13 – 4i)(1 - i)

A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: Simplify (4+3i)(2i-5)

A: Here we use concept of complex Number i.e. i=√-1 or i2 = -1

Q: 3) (2i-4)+(2i-8)

A: The given expression is: 2i-4+2i-8 To simplify the expression.

Q: 4i/5+i

A: Given expression: 4i5+i rationalize the expression…

Q: 4) -3i(4i-5)

A:

Q: Simplify: 4+ 3i h) 5 – 2i 6 – 8i g) (3 – 2i)2 i) i

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Q: Calculate: 4+ 4i (a)- -4 – 4i (b) (1 + i)(3 – 2i)(1 – 4i) | - i(4 + 3i)³ (c) (2 – i)²

A:

Q: Simplify (7 + 3i) 2 [(2 + i) 2 (3 - 4i)].

A: Given, (7+3i)2(2+i)2(3-4i)

Q: 2. 2i + 3 - i 1 + i

A:

Q: 1-). 25 2-) 3+4i 3-1

A:

Q: b) Im 1-7i 2+5i,

A:

Q: Express (3-5i)(1+i)/4+2i in the form of a+ib.

A: Let  Z = a + ib

Q: 0 -2 i 2i 2 M = -2i 1 -1

A:

Q: 10)–i (2i² – 5i)

A: