287 × 287 + 269 × 269 - 2 × 287 × 269 = ?

Answer: Option D

$$\begin{array}{rl}& \left(287\times 287+269\times 269-2\times 287\times 269\right)\\ & ={\left(287\right)}^2+{\left(269\right)}^2-\left(2\times 287\times 269\right)\\ & ={\left(287-269\right)}^2\\ & ={\left(18\right)}^2\\ & =324\end{array}$$
[∵ a² + b² - 2ab = (a - b)² ]