If x + 1/x = 2 , then the value of ( x^2 + 1x^2 ) ( x^3 + 1x^3 ) is?

Answer: Option B

$$\begin{array}{rl}& x+\frac{1}{x}=2\\ & \text{Put x = 1}\\ & \therefore \text{1 + }\frac{1}{\left(1\right)}=2\\ & \Rightarrow 2=2\left(\text{Satisty}\right)\\ & \therefore \left(x^2+\frac{1}{x^2}\right)\left(x^3+\frac{1}{x^3}\right)\\ & =\left(1+1\right)\left(1+1\right)\\ & =2\times 2\\ & =4\end{array}$$