Question

Factorize: x² - 2 + 1/x² - y²​

Answer 1

Answer:

(x+y-1/x)(x-y-1/x)

Step-by-step explanation:

x² - 2 + 1/x² - y²​=(x² - 2 + 1/x²) - y²​

=(x² - 2x(1/x) + 1/x²) - y²​

=(x-1/x)² - y²

=(x-1/x+y)(x-1/x-y) .....[using a²-b²=(a+b)(a-b) identity]

=(x+y-1/x)(x-y-1/x)