Question

Express the following in the form of a+ib
1.(1/1-2i+3/1+i) (3+4i/2-4i)
2.(1+i/1-i)
3.(1+i)^3/4+3i

Answer 1

Answer:

Correct option is

C

41+49i.

Simplifying, we get 

(1+i−2i+21+i+3−6i)(2−4i3+4i)

(3−i4−5i)(2−4i3+4i) 

Hence

3−i4−5i.2−4i3+4i

=6−12i−2i−412+16i−15i+20

=2−14i32+i

=200(32+i)(2+14i)

=20064+448i+2i−14

=20050+450i

=41+9i.