Question

Find the product:

(x + 2) (x − 2) (x² + 4)

Answer 1

Given expression: (x + 2)(x – 2)(x² + 4)

Step-wise calculation:

1. First, calculate the product (x + 2)(x – 2):

(x + 2)(x – 2) = x² – 2²

(x + 2)(x – 2) = x² – 4

This is the difference of squares formula.

2. Now multiply the result by (x² + 4):

(x² – 4)(x² + 4)

Again, this is a difference of squares:

(x²)² – 4² = x⁴ – 16