Multiply 3i(2-3i)

Q: 12i^8-6i^5-15i^3

A: Answer

Q: (8 + 5i) – (2 + 3i)

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

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

A: topic - multiplication of complex numbers

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

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Q: (8 – 3i)(-7 – 6i)

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Q: 3 1. - 5i 3 - i 2. 2 - i

A: This is a problem of complex analysis.

Q: Simplify i -3i

A:

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

A:

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: Simplify (2 – 3i)²

A:

Q: Simplify: - 3i 1+ 3i

A:

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

A: To simplify the given expression.

Q: Evaluate (-1 +√3i )^1/2

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: 2/-8i

A: It is given that,2/-8i We have to evaluate it.

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

A:

Q: Add (10-5i)+(2+3i)

A: We can find the addition as below

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: Multiply. 9i – 9i • 2i

A: Given,          -9i·2i

Q: (5-5i)· (-3+ 5i)

A: Given : 5-5i·-3+5i

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: 7-2i/-1-i

A: here we have , z=-7-2i-1-i we have to convert it in the form of a+ib

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: Imaginary and Simplify: 1) (4 + 2i) + (-3 – 5i) 2) (-3 + 4i) – (5 + 2i) 3) (-8- 7i) – (5 – 4i) 4)…

A:

Q: 1-2i 2-i Evaluate: 3-4i 5i

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Q: Simplify completely: (5−2i)(3i)

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Q: Simplify: 4 + 7i - 3 - 2i

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Q: Simplify: -5i 1– 4i |

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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: (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: Evaluate (3+ 4i)(3+4i)

A: Here, we have to evaluate 3+4i3+4i

Q: a = 2i + 3j - k, b = -4i + 5k |

A: Given: a=2i+3j-kb=-4i+5k

Q: (√2-i)-i(1-√√2i)

A: Follow the procedure given below.

Q: Simplify sio2

A: Answer

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

A:

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

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Q: (5 + 7i) * (3 – 2i)

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Q: 2-3i/1-2i

A:

Q: 10/-4-2i

A: We will rationalise the given complex number to find its standard form

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

A: