Solve this multiple-choice question and choose the correct option.

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

Curioustab

Evaluate: {(476 + 424)<sup>2</sup> − 4 × 476 × 424}.

Aptitude Numbers Difficulty: Easy

Choose an option

A

2704
B

5200
C

104
D

2401
E

None of these

Answer

Correct Answer: 2704

Explanation

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.