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7 / 10Simplification-EasyQuantitative Aptitude

Simplify using the identity (a+b)2=a2+2ab+b2(a+b)^2 = a^2+2ab+b^2: 101×101101 \times 101

  1. 1020110201

  2. 1010110101

  3. 1022110221

  4. 1120111201

Show answer & explanation

Correct answer

1020110201

Explanation

Writing 101=100+1101 = 100+1, (100+1)2=10000+200+1=10201(100+1)^2 = 10000 + 200 + 1 = 10201.

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