Question

Factorize
x^2+(1/x^2)+1​

Answer 1

$\underline{\underline{\red{\sf{solution}}}} :$

$\longrightarrow\underline{\underline{\red{\sf{ {x}^{2} + ( \frac{1}{x} ^{2} ) + 1}}}}$

$\sf \implies( \frac{x - 1}{x} ) ^{2}( 2 - 1 ^{2} )$

$\sf \implies( \frac{x - 1}{x - 1} )( \frac{x - 1}{x + 1} )$

$\sf \implies( \frac{1}{1} )( \frac{ - 1}{1} )$

$\sf \implies \frac{ - 1}{1}$