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

Q: Simplify the following expression: (4+5i) / 4i Select one: a. (5+4i)/4 O b. (5i+4i) / 4 O c.…

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

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Q: Divide (3 - 4i)/(4 + 3i) and express the result in standard form.

A: Multiply by the conjugate of the denominator

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

A: a Given expression is −1−3i5−i. We have to write the given expression in a+bi form. Rationalize the…

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

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

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Q: Simplify the expression to a + bi form: (-8 — 2:) + (8 — і)

A: (- 8 - 2i) + (8 - i) = (- 8 + 8) + (- 2i - i) = 0 + (- 3)i  So, a = 0 &, b = - 3

Q: (-4+i)-(5-7i)² Simplify 3i

A: We use i2=-1

Q: Multiply/Divide a) divide -27 • divide -27 b) (1+5i) (1- 5i)

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

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Q: Divide and express the result in standard form: (7 + 4i) / (2 - 5i).

A: 7+4i2-5i

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

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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: (1-6i)/(-10+8i)

A: Let

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: Divide and express the result in standard form: (5 + 4i) / (4 - i).

A: Given:5+4i4-i

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…