O Ex press the following in the Rorm atib : (i) (l+i) (1-2i) I+ 3i 34i (1-i)? 2+Bi 2 (ii) 3+4i 2 -4i 1-2i

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: Express the following numbers in rectangular form (real and imaginary). (a) 9 39°= +i (b) 20 -15° =…

A: Note:as per our answering guidelines we can solve only 1 question or 3 sub parts. So i solved 1st…

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

A: Multiply by the conjugate of the denominator

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: Simplify and write in standard form: (6+ 2i)(-9+ 12i) – 2i(1+ 4i)

A: topic - complex numbers

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

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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: (j4 +43)(2cjs(-35°))" . Let w= (32cjs40°) - Simplify o and write it in rectangular form.

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Q: multiply (5 + 2i)(4 - 3i). please show all the work used to multiply.

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

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

A: 7+4i2-5i

Q: 5 √O r=1+3 cos(30) (-/-) r= - r = 5 sin V r = 0 sin(0) a. + T b. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬ a 5. 9 Q

A: Consider the polar equations 1.

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

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

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

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

A: Let

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: a) (1 – 8i) – (2 – 7i) b) (1 – 2/)? c) 4 - 31 4 + 3i d) (2/)° – ¡16

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

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

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

A: To determine the product.

Q: z -4 + 3i| = 5

A: Given: z-4+3i=5

Q: Evaluate (1+ i)6 + (1 – i)³. Select one: Oa. -2 – 10i O b. 2- 10i OC. - 2+ 10i O d. 2+ 10i

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Q: Rewrite the expressions in terms of i: a) -v(-5) b)(-V(-24))v6

A: SInce multiple questions are asked, I am answering the first question with both subparts.

Q: 12) (3 + 2i) + (5-3i) 13) (4 + 2i) (3 - 2i)

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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: 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…