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Answer the following: Simplify the following and express in the form a + ib: 52i(-4-3i)

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Question

Answer the following:

Simplify the following and express in the form a + ib:

`5/2"i"(-4 - 3"i")`

Sum
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Solution

`5/2"i"(-4 - 3"i")`

= `-10"i" - 15/2"i"^2`

= `-10"i" + 15/2`   ...[∵ i2 = – 1]

= `15/2 - 10"i"`, which is of the form a + bi.

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Chapter 1: Complex Numbers - Miscellaneous Exercise 1.2 [Page 21]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 1 Complex Numbers
Miscellaneous Exercise 1.2 | Q II. (1) (iv) | Page 21

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