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Squaring 2 digit number beginning with 9

Squaring a 2-digit number beginning with 9
  1. Take a 2-digit number beginning with 9.
  2. Subtract it from 100.
  3. Subtract the difference from the original number: this is the first part of the answer.
  4. Square the difference: this is the last part of the answer.

Example:

  1. If the number is 96, subtract: 100 - 96 = 4, 96 - 4 = 92.
  2. The first part of the answer is 92 _ _ .
  3. Take the first difference (4) and square it: 4 × 4 = 16.
  4. The last part of the answer is _ _ 16.
  5. So 96 × 96 = 9216

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