If x - y = 2, xy = 24, then the value of (x2 + y2) is?

Answer: Option D

$$\begin{array}{rl}& \text{Given,}\\ & x-y=2\text{ and }xy=24\\ & \text{By squaring}\\ & \Rightarrow x^2+y^2-2xy=4\\ & \Rightarrow x^2+y^2-2\times 24=4\\ & \Rightarrow x^2+y^2=4+48\\ & \Rightarrow x^2+y^2=52\end{array}$$