Question

Find the product using identities :

(x-2) (X+2) (x² + 4) (x⁴ + 16)​

Answer 1

Answer:

x⁸ - 256

Step-by-step explanation:

The identity used : (a+b)(a-b) = (a² - b²)

(x-2) (X+2) (x² + 4) (x⁴ + 16)​

= (x² - 2²) (x² + 4) (x⁴ + 16)​

=  (x² - 4)(x² + 4) (x⁴ + 16)​

= ( (x²)² - 4²) (x⁴ + 16)​

= (x⁴ + 16)​(x⁴ - 16)​

= (x⁴ )² - 16²

= x⁸ - 256