Question

Show that (1 + i)² = _____
A) 2
B) 1 + 2i
C) -1
D) 0

Answer 1

(1 + i)² equals 2. Therefore, the correct option is A) 2.

Step-by-step explanation:

To show that (1 + i)² equals -1, we can expand the expression using the distributive property:
(1 + i)(1 + i) = 1 + 1i + 1i + i²
Simplifying further:
= 1 + 2i + i²
Since i² is defined as -1:
= 1 + 2i - 1
= 0 + 2i
Therefore, (1 + i)² equals 0 + 2i, which can be written as 2. Therefore, the correct option is A) 2.