Find the product: (x-1/x) (x+1/x) (x2+1/x2) (x4+1/x4)

Use the difference of 2 squares (a - b) (a + b) = a^2 - b^2:-

(x - 1/x) (x + 1/x) = x^2 - (1/x) ^2

= x^2 - 1/x^2

(x ^2 - 1/x^2) (x^2 + 1 / x^2)

= x^4 - 1/x^4

(x^4 - 1/x^4) (x^4 + 1/x^4)

= x^8 - 1 / x^8 Answer