Avoid Doing Complex Arithmetic

Algebra Level 3

True or False?

(1+i)(1+2i)(1+3i)=(1−i)(1−2i)(1−3i) ( 1 + i)( 1 + 2i) ( 1+3i) = ( 1 - i ) ( 1 - 2i) ( 1-3i)

Clarification: i=−1i=\sqrt{-1}.

Bonus: Prove it without expanding all the terms.

Calvin Lin by Calvin Lin
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