Q. 3 G4.1( 28 Votes )

# Find the value of

(1 + i)6 + (1 – i) 3 = {(1 + i)2 }3 + (1 – i)2 (1 – i)

= {1 + i2 + 2i}3 + (1 + i2 – 2i)(1 – i)

= {1 – 1 + 2i}3 + (1 – 1 – 2i)(1 – i)

= (2i)3 + (– 2i)(1 – i)

= 8i3 + (– 2i) + 2i2

[since i3 = – i, i2 = – 1]

= – 8i – 2i – 2

= – 10 i – 2

= – 2(1 + 5i)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Evaluate<imRS Aggarwal - Mathematics

Evaluate

<
RS Aggarwal - Mathematics

Evaluate:

RS Aggarwal - Mathematics

<img width=RS Aggarwal - Mathematics

<img width=RS Aggarwal - Mathematics

If <img widRD Sharma - Mathematics

<img width=RS Aggarwal - Mathematics

<img width=RS Aggarwal - Mathematics

If (1 + i)z = (1 RS Aggarwal - Mathematics

<img width=RS Aggarwal - Mathematics