Evaluate: 1904 × 1904

Given data

• Compute 1904².

Concept / Approach

• Use (a + b)² with a = 1900, b = 4 to expand quickly.

Step-by-step calculation

(1900 + 4)² = 1900² + 2 × 1900 × 4 + 4²1900² = 3,610,0002 × 1900 × 4 = 15,2004² = 16Sum = 3,610,000 + 15,200 + 16 = 3,625,216

Verification / Alternative

Compute 1904 × 1904 by standard multiplication; the result matches 3,625,216.

Common pitfalls

• Dropping the middle term 2ab in the square expansion.

Final Answer

3625216