Evaluate ((20_{three})^2 – (11_{three})^2) in base three

Evaluate ((20_{three})^2 – (11_{three})^2) in base three

  • A.
    101
  • B.
    121
  • C.
    202
  • D.
    2020
Correct Answer: Option C
Explanation

((20_{three})^2 – (11_{three})^2)

= ((20_{3} – 11_{3})(20_{3} + 11_{3}))

= ((2_{3})(101_{3}))

= (202_{3}) 

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