(2+Si)• (2 + 7i)

Q: 01- find the values of x and y for the following:- c) (2 + 5i)(x + yi) = (3-5i)²

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Q: Find the quotient (1+i) 10 1+/3i A. 10(1+ 3i): B. 16+5i C. 8(/3+i)· D. 6(/3+2i)- E. -8(/3-i). Е.

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Q: 5(2-3i) – 4(4+6i)

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

A: topic - multiplication of complex numbers

Q: V-25+ 2iº5+3(i6)' + |9 + 8i| – 4(5+ 6i) v-36

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Q: Solve using the definition Sí 2x – x3 |

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Q: Can you write the product of a sum or difference of 16sin(29b)sin(16b) ?

A: The objective of the question is to express the product of two sine functions, 16sin(29b) and…

Q: If -5/6i=30, what is the value of -2i-2?

A: See the solution below.

Q: Write in the form x+yi: 2+3i (a) 1+i -4+3i (b) -2 -i 4i (c) 2-i 1 (d) 2+3i 3- 2i (e) i p+qi (f) r+si

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Q: Find the value of q such that (3 + 4i)(1+2i) (1 + 3i) q= = q(1 + i).

A: To find the value of q such that,  3+4i1+2i1+3i=q1+i

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

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

Q: Simplify: 2/2 (v6 – 4) 9.

A: We need to simplify the following expression 226-4

Q: Find the value of q such that (3 + 4i)(1 + 2i) (1 + 3i) = q(1 + i).

A: We have to simplify left hand side expression then compare both side to find the value of q.

Q: 1. Simplify xi(i – 7i)², where i is the imaginary unit.

A: We have to simplify the given expression in which i is an imaginary unit

Q: a. -5tiV13 b. x=ニ5tN -5tV13 C. X = 5士/13 d. x = 6. mplify: (4+ 2i) - (3- 5i) a. 7+ 7i

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Q: What is the imaginary number of z= -1 +2i ? Select the correct response: O Im (z) = -2 O Im (z) = 2…

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Q: Find the value of i20 + + 2i².

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

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Q: (5-5i)· (-3+ 5i)

A: Given : 5-5i·-3+5i

Q: (7i)(7i)(5-6i)

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Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

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Q: A) 1-2リ 1. =6 25 (1-2i)? (1+2i)²

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

Q: When 3+4i / 2+i is expressed in the form a + bi, what is the value of a?

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Q: 8i−(15−4i)

A: The standard form of a complex number is given as,

Q: For the given numbers: Z1 = 1 – 2i, Z2 = 3 – i, Z3 = 2 – i, find: (a) Z1 · Z2 + Z3 (b) (c) |Z|

A: For the given numbers:z1=1-2i   , z2=3-i  , z3=2-iFind:

Q: . Simplify the expression, (4 – 3i)(-3+ 6i) – (2 – i). Show your work.

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Q: -1+5i -i

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

Q: 1. Evaluate the following. (a) (2 - 2i) 2/3 (b) 1 ¿2i

A: It is evaluating

Q: What is Im (i (3 + 2i) (7 +5i))?

A: Given that the complex number Imi3+2i7+5i   .

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…