Avoid Doing Complex Arithmetic
Algebra
Level
3
True or False?
\[ ( 1 + i)( 1 + 2i) ( 1+3i) = ( 1 - i ) ( 1 - 2i) ( 1-3i) \]
\[\] Clarification: \(i=\sqrt{-1}\).
Bonus: Prove it without expanding all the terms.
by
Calvin Lin