Evaluate \((20_{three})^2 - (11_{three})^2\) in base three
MATHEMATICS
WAEC 2001
Evaluate \((20_{three})^2 - (11_{three})^2\) in base three
- A. 101
- B. 121
- C. 202
- D. 2020
Correct Answer: C. 202
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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