144 is an awesome number!

Level pending

Since today is 1 4 t h 14^{th} April (14/4), I have created an expression involving 144 of the number 144:

( 144 0 2 ) ( 144 1 2 ) ( 144 2 2 ) . . . . . ( 144 14 2 2 ) ( 144 14 3 2 ) (144 - 0^2)(144 - 1^2)(144 - 2^2).....(144-142^2)(144-143^2) .


The answer is 0.

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1 solution

Noel Lo
Apr 13, 2015

You will eventually multiply by ( 144 1 2 2 ) (144-12^2) which is zero. Anything times zero is zero.

Moderator note:

You should mention Zero Product Property to make it clearer.

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