What is the value of the product (3 - 2i) (3 + 2i)?

Solution:

A complex number is in the form of a + bi where a is a real number and bi is an imaginary part of the number.

To multiply complex numbers, we will use algebraic identity a² - b² = (a + b) (a - b)

⇒ (3 - 2i) (3 + 2i) = 3² - (2i)²

⇒ 9 - 4i² 

As we know that i² = -1

⇒ 9 - 4 (- 1)

⇒ 9 + 4

⇒ 13

Thus, the value of the product of (3 – 2i) (3 + 2i) is 13.

What is the value of the product (3 - 2i) (3 + 2i)?

Summary:

The value of the product of (3 - 2i) (3 + 2i) is 13.