If u = (1 + i ) and v = (1 − i ), what is uv? 1 -4 -4i 4

Question

asked Nov 7, 2018 195k views

2 Answers

Nicolas Tyler · Answer 1 · 2018-11-11T10:06:31+0000

Answer:

The value of the product of u and v is
.

Explanation:

Given: The value of
u=1+i and
v=1-i

To find: The value of
.

Solution: It is given that the value of of
u=1+i and
v=1-i , then the product is given as:

uv=(1+i)(1-i)

uv=(1)^2-(i)^2 (Using identity
a^2-b^2=(a+b)(a-b) )

uv=1-(-1)

Thus, the value of the product of u and v is
.