Question

x squared -2 + 1 / x squared - y squared...... factorise this

Answer 1

x²+1/x² -2 - y² = (x-1/x)² -y² = (x-1/x+y) (x-1/x-y)

Answer 2

Answer:

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

Step-by-step explanation:

Given,

x² - 2 + 1/x² - y²

Apply algebraic formula,

( a - b )² = a² + b² - 2 a b

x² - 2 + 1/x² - y²

On comparing with the formula,

a = x

b = 1/x

x² - 2 x * 1/x + 1/x² - y²

( x - 1/x)² - y²

Now, compare with a² - b² = (a - b) * (a + b)

a = x - 1/x

b = y

so, ( x - 1/x)² - y² = ( x - 1/x - y) * ( x - 1/x + y)