Question

Вычислите САМЫМ рациональным способом:
36∙35 – 35∙34 + 34∙33 – 33∙32 + 32∙31 – 31∙30 +
+ 30∙29 – 29∙28 + 28∙27 – 27∙26 + 26∙25 – 25∙24.

ПОМОГИТЕ!!!!!!!!!!!!!!!!!


35 баллов!!!!!!!!!!!

Answer 1

36∙35-35∙34+34∙33-33∙32+32∙31-31∙30+30∙29-29∙28+28∙27-27∙26+26∙25-25∙24 = =35(36-34)+33(34-32)+31(32-30)+29(30-29)+27(28-26)+25(26-24) =
= 35∙2+33∙2+31∙2+29∙2+27∙2+25∙2 = 2(35+25+33+27+31+29) = 
= 2(60+60+60) = 2∙180 = 360