Evaluate: {(476 + 424)² − 4 × 476 × 424}.

Problem Restatement

Compute {(476 + 424)² − 4 × 476 × 424} using algebraic identities.

Concept / Approach

Recognize the identity: (a + b)² − 4ab = a² + 2ab + b² − 4ab = a² − 2ab + b² = (a − b)².

Step-by-Step Calculation

Let a = 476, b = 424(a − b)² = (476 − 424)² = 52² = 2704

Common Pitfalls

• Attempting brute-force squaring; spotting the identity is faster and reduces errors.

Final Answer

2704