-4i (6 – 3i)

Q: (8 + 5i) – (2 + 3i)

A: Given : (8+5i) - (2+3i) To simplify the given expression. Here we  will use-…

Q: (8 – 3i)(-7 – 6i)

A:

Q: w= "-9+3i/1-2i"

A: Let's Solve,

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

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

Q: (5 – 6i) – (3 – 2i)

A: We have to perform the subtraction between two complex numbers.

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

A: Solution:

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

A:

Q: Evaluate (2i)3 a) 8 b) –8 с) -8i d) 8i

A: Let z=(2i)3

Q: Simplify: - 3i 1+ 3i

A:

Q: 15 (-4i + 2) =

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

Q: (10 + 6i)( – 1 – 4i) =

A: Consider 10+6i-1-4i, Multiply the factors term-wise.…

Q: 2.((7+8i)(4+7i))

A: Solution (7+i8)⁶(4+i7)⁶=((7+i8)²)³((4+i7)²)³ » (49-64+112i)³(16-49+56i)³ »(-15+112i)³(-33+56i)³ »

Q: 4+ 3i 3 — 5і (b) 2+ 3i 2 – 3i

A:

Q: 2+5i 2-5

A: Given: gx=x2+3x-4x2-4x+29 The roots of the polynomial gx can be obtained as,…

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

A:

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

A:

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: (-1+i)-(-7+4i)-5

A: Simplify the expression (–1+i) – (–7+ 4i) – 5 as follows.(–1+ i) – (–7+ 4i) – 5 = –1+ i +7– 4 i – 5…

Q: %3D i=2

A:

Q: (4– 2i) (2+5i)

A:

Q: (5-5i)· (-3+ 5i)

A: Given : 5-5i·-3+5i

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

A:

Q: 2+3i 2.) + (8i – 6)(-3 + 14i) 3i(1-5i)

A: 2+3i3i(1-5i)+(8i-6)(-3+14i)=2+3i3i-15i2+(-24i+112i2+18-84i)=2+3i15+3i-108i-94=(2+3i)(15-3i)(15+3i)(1…

Q: V3 - 10i 6. 一V3 + 5i -4 + 19i 8. 2 + 5i

A:

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

A:

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

A: (3+2i)(4-5i)

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

A: In this question we need to simplify the given complex number.

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

A: 6+2i1+2i* 1-2i1-2i=10-10i5= 2-2i

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: 6)(3і — 2) (4i — 5)

A: Given,

Q: A) 1-2リ 1. =6 25 (1-2i)? (1+2i)²

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

Q: 之= 1+4i

A: Given: z=2+4i We know that if z=a+ib then z is given by z=a2+b2…

Q: (2-4i)(5-7i) =

A: The steps  of simplification are shown on board. Here we se the result i^2 =-1 and then collect the…

Q: ixi + (2 – i)r2 = 4 – 3i (1+ i)x1 – 12 =-3 - i

A:

Q: (2i-9)2

A: We need to simplify (2i – 9)2 and express in the form of (a + ib). We can rewrite  (2i – 9)2 as (2i…

Q: -1+5i -i

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

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

A: we have  2+i1+3i¯-2+4i ....(i) where 1+3i¯ is the conjugate of 1+3i. To find the conjugate of 1+3i…

Q: 2i-1 |4e

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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

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

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

A: Note -  You have not used bracket in first part so I have solved the question in two ways. Check the…

Q: 4i/5+i

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

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

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

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

A: The given question belonging to the complex number in which we have to find the product of the…

Q: 3i 2. -4 3. -3+2i 4. 3-4i 5. -12-3і 6. 8+i

A:

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

A:

Q: (2i - 6)° (8i – 14) i =

A: We are given the following figure.

Q: 10)–i (2i² – 5i)

A:

Q: (3 -3i)(4 + 9i)

A: