Simplify: $$\frac{(375 + 375) + (125 \times 125) - (375 \times 125)}{(375 \times 375 \times 375) +(125 \times 125 \times 125)}$$​

Correct option is D

(x³ + y³) = (x + y) (x² + y² – xy)
x = 375, y = 125
​$$\frac{1}{x + y} = \frac{x^2 + y^2 – xy}{x^3 + y^3}$$​​
So after comparing we found
$$\frac{(375 + 375) + (125 \times 125) - (375 \times 125)}{(375 \times 375 \times 375) + (125 \times 125 \times 125)} = \frac{1}{375 + 125} = \frac{1}{500}$$​