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Answer the following: Simplify the following and express in the form a + ib: (2 + 3i)(1 − 4i)

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Question

Answer the following:

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

(2 + 3i)(1 − 4i)

Sum
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Solution

(2 + 3i)(1 − 4i) = 2 − 8i + 3i − 12i2

= 2 − 5i − 12(− 1)   ...[∵ i2 = − 1]

= 14 − 5i

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

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

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