Question

factorize x²+1/x²-3
do it​

Answer 1

ANSWER.

• Factorised form » (x - 1/x + 1)(x - 1/x - 1)

SOLUTION.

Given –

= x² + 1/x² - 3

We can write the expression as –

= x² + 1/x² - 2 - 1

Clearly, we observe that, x² + 1/x² - 2 is a perfect square. So, we get,

= (x - 1/x)² - (1)²

Now, factorise as difference of two squares, we get,

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

Which is our required answer.