197k views
23 votes
Without using a calculator evaluate:
- 81 + 203²

2 Answers

11 votes

Explanation:

multiply 203 by 200, you get 20300 and then multiply the 3 and you get 20909. Then subtract 81 from it and you have 20828 as the final answer.

User Olee
by
4.1k points
4 votes

Answer:

  • 41128

Explanation:

This problem requires the formula "a² + 2ab + b²".

  • -81 + 203²
  • => -81 + (200 + 3)²
  • => -81 + (200² + 2(200)(3) + 3²)
  • => -81 + (40000 + 1200 + 9)
  • => -81 + (41209)
  • => 41209 - 81
  • => 41128

Hence, 41128 is the answer without using calculator.

User Eric Jablow
by
3.9k points