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

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

A: topic - multiplication of complex numbers

Q: (2+3i)2=

A:

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

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Q: Simplify the expression to a + bi form: (-6 – 9i)(-11 +7i)

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Q: (D2 -3D+2) y = e sin (e") - 2

A:

Q: (-2 + 7i) + (6 + 2i)

A: We have to find (-2 + 7i) + (6 + 2i)

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

A:

Q: Find the product and write the result in standard form (-7- 9i)(3+ i)

A: Given query is to find the the product of the complex numbers.

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

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Q: (3-5i)-(7-8i)

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Q: Simplify the expression to a + bi form: (5 + 2i)(8 + 8i)

A: (5+2i)(8+8i) = 24 + 56i  The detailed solution is as follows 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: (5i)-(2i)-(8+4i) simplify

A: (5i)-(2i)-(8+4i) simplify

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

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

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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: Perform the indicated operation(s) and write the result in standard form. (2 - 3i)(1 - i) - (3 -…

A: Given 2-3i1-i-3-i3+i

Q: What is the difference of (-3+2i) and (6+3i)?

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Q: 6)(3і — 2) (4i — 5)

A: Given,

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…