Question

What is the square of the complex number (i - 2)?

Select one:
O A. -4- 4i
O B. -4
O C. 3 – 4i
O D. 4- 4i
O E. 4+4i

Answer 1

The square of the complex number (i - 2) is -4 - 4i.

Step-by-step explanation:

To find the square of the complex number (i - 2), we can use the distributive property and simplify the expression. Let's break it down step by step:

Start with the expression (i - 2)

Expand by distributing the square operation: (i - 2)(i - 2)

Use the FOIL method to simplify: i² - 2i - 2i + 4

Combine like terms and simplify further: -1 - 4i + 4

The final simplified expression is: -4 - 4i

Therefore, the square of the complex number (i - 2) is -4 - 4i.

Answer 2

Step-by-step explanation:

Square of (i-2)=(i-2)^2

=i^2-4i+4

Since i^2=-1

So

=i^2-4i+4

=-1-4i+4

=3-4i

Answer is 3-4i( option c)