Question

Докажите тождество. См. (рисунок)

Answer 1

$(a ^{8} -b ^{8} )=(a ^{4} -b ^{4} )(a ^{4} +b ^{4} )=(a ^{2} -b ^{2} )(a ^{2} +b ^{2} )(a ^{4} +b ^{4} )= \\ =(a-b)(a+b)(a ^{2} +b ^{2} )(a ^{4} +b ^{4} )$