Question

Sa se calculeze:
(1000-1³)×(1000-2³)×(1000-3³)×(1000-4³)×......×(1000-15

Dau coroana și 30 de puncte.

Answer 1

$(1000-1^3)\times(1000-2^3)\times...\times (1000-15^3) = \\ =(1000-1^3)\times(1000-2^3)\times...\times (1000-10^3)\times...\times (1000-15^3)= \\ =(1000-1^3)\times(1000-2^3)\times...\times (10^3-10^3)\times...\times (1000-15^3)= \\ =(1000-1^3)\times(1000-2^3)\times...\times 0\times...\times (1000-15^3)= \boxed{0}$