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ShadowMaria
@ShadowMaria
August 2022
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найдите значение числового выражения (200^2+198^2+196^2+194^2+192^2)-(199^2+197^2+195^2+193^2+191^2)
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ВладимирБ
Verified answer
(200^2+198^2+196^2+194^2+192^2-(199^2+197^2+195^2+193^2+191^2)=
=(200^2-199^2)+(198^2-197^2)+(196^2-195^2)+(194^2-193^2)+(192^2-191^2)=(200-199)(200+199)+(198-197)(198+197)+(196-195)(196+195)+(194-193)(194+193)+(192-191)(192+191)=200+199+198+197+196+195+194+193+192+191=
=(200+191)*10/2=1955
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Verified answer
(200^2+198^2+196^2+194^2+192^2-(199^2+197^2+195^2+193^2+191^2)==(200^2-199^2)+(198^2-197^2)+(196^2-195^2)+(194^2-193^2)+(192^2-191^2)=(200-199)(200+199)+(198-197)(198+197)+(196-195)(196+195)+(194-193)(194+193)+(192-191)(192+191)=200+199+198+197+196+195+194+193+192+191=
=(200+191)*10/2=1955