Question

Factorize
x^2+2+1/x^2​

Answer 1

Correct Question :-

Factorize — $\sf{ x^{2} + 2 + \frac{1}{x^{2}} }$

Correct Answer :-

To factorise the given expression, we will;

$\sf{ {x}^{2} + 2 + \frac{1}{ {x}^{2} } }$

$\to \sf{\frac{\left(x^{2}+2\right)x^{2}}{x^{2}}+\frac{1}{x^{2}} }$

$\to \sf{\frac{\left(x^{2}+2\right)x^{2}+1}{x^{2}} }$

$\mapsto { \boxed{ \pmb{\sf{ \red{\frac{x^{4}+2x^{2}+1}{x^{2}} }}}}}$

∴ Hence, the factorization for $\sf{ x^{2} + 2 + \frac{1}{x^{2}} }$ will be $\sf{\frac{x^{4}+2x^{2}+1}{x^{2}} }$.

@MrCyber