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

Solution:

The sum of a real number and an imaginary number is called a complex number. It is denoted by a + bi, where a is a real number and b is the imaginary part.

The multiplication of complex numbers results in a complex number.

To multiply (3 - 2 i) (3 + 2 i), we will use algebraic identity a² - b² = (a - b) (a + b)

⇒ (3 - 2 i) (3 + 2 i)  = (3)² - (2i)²

⇒ 9 - 4 i²

As we know that i² = - 1

⇒ 9 - 4 (- 1)

⇒ 9 + 4

⇒ 13

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

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

Summary:

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