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

Sum

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

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

#### 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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#### APPEARS IN

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