Simplify: (i) 1605 × 1605 (ii) 1398 × 1398 · ABC26GN0006

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

Simplify: (i) 1605 × 1605 (ii) 1398 × 1398

Answer

Answer (as printed):

Explanation

(i) 1605 × 1605 = (1605)2 = (1600 + 5)2 = (1600)2 + 52 + 2 × 1600 × 5 = 2560000 + 25 + 16000 = 2576025. (ii) 1398 × 1398 = (1398)2 = (1400 – 2)2 = (1400)2 + 22 – 2 × 1400 × 2 = 1960000 + 4 – 5600 = 1954404.

Explanation as extracted from the printed page; notation may be imperfect.

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