Evaluate: 287^2 + 269^2 − 2 × 287 × 269

Given data

• Expression: a^2 + b^2 − 2ab with a = 287, b = 269.

Concept / Approach

• Identity: a^2 + b^2 − 2ab = (a − b)^2

Step-by-step calculation

a − b = 287 − 269 = 18(a − b)^2 = 18^2 = 324

Verification

Expanding (a − b)^2 gives a^2 − 2ab + b^2, matching the given expression.

Final Answer

Value = 324.