Question

x²+1/x²+2 Factorising​

Answer 1

Answer:

The answer is $(x+\frac{1}{x})^2$

Step-by-step explanation:

            Given expression

                  $=\displaystyle x^2+\frac{1}{x^2}+2$

                 $=\displaystyle x^2+(\frac{1}{x})^2+2\cdot x\cdot \frac{1}{x}$, since $2\cdot x\cdot \frac{1}{x}=2$

                $=(x+\frac{1}{x})^2$     , since $a^2+b^2+2ab=(a+b)^2$