Question

Find product of (x-1/x), (x+1/x), (x^2+1/x^2) and (x^4+1/x^4)

Answer 1

We know that

(a-b)(a+b)=a^2-b^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)