# 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 a^{2 }- b^{2 }= (a - b) (a + b)

⇒ (3 - 2 i) (3 + 2 i) = (3)^{2} - (2i)^{2}

⇒ 9 - 4 i^{2}

As we know that i^{2 }= - 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.

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