Advertisement Remove all ads

Answer the following: Simplify the following and express in the form a + ib: (1 + 3i)2(3 + i) - Mathematics and Statistics

Sum

Answer the following:

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

(1 + 3i)2(3 + i)

Advertisement Remove all ads

Solution

(1 + 3i)2(3 + i)

= (1 + 6i + 9i2)(3 + i)

= (1 + 6i – 9)(3 + i)   ...[∵ i2 = – 1]

= (–8 + 6i)(3 + i)

= – 24 – 8i + 18i + 6i2

= – 24 + 10i + 6(– 1)

= – 24 + 10i – 6

= – 30 + 10i

  Is there an error in this question or solution?
Advertisement Remove all ads

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) (v) | Page 21
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×