Evaluate \((20_{three})^2 - (11_{three})^2\) in base three
A
101
B
121
C
202
D
2020
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\((20_{three})^2 - (11_{three})^2\)
= \((20_{3} - 11_{3})(20_{3} + 11_{3})\)
= \((2_{3})(101_{3})\)
= \(202_{3}\)
Source: Myschool Past Questions Archive (Record #26473)