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})
Evaluate ((20_{three})^2 – (11_{three})^2) in base three
((20_{three})^2 – (11_{three})^2)
= ((20_{3} – 11_{3})(20_{3} + 11_{3}))
= ((2_{3})(101_{3}))
= (202_{3})