(2011^2)*1005+0^2+((-2011)^2)*1005= (2011^2)*2010) объясните...

(2011^2)*1005+0^2+((-2011)^2)*1005= (2011^2)*2010) объясните подробнее это решение

Ответ:

(2011²)*1005+0²+((-2011)²)*1005 = (2011²)*1005+ ((-1)*2011)²*1005 =

= (2011²)*1005+ ((-1)²(2011²))*1005 = = (2011²)*1005 + (2011²)*1005 =

= (2011²)*1005* (1 + 1) = 2* 1005 * (2011²)= 2010 * (2011²)

Источник: https://znanija.com/task/320570