C^5-c^4-c+1-разложить на множители

Question

Иваха

1 ноября, 06:32

+4

Ответы (2)

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Ювеналий · Answer 1

C^5-c^4-c+1 = (c^5-c^4) - (c-1) = c^4 (c-1) - (c-1) = (c-1) (c^4-1) = (c-1) (c^2-1) (c^2+1) =

(c^2+1) (c+1) (c-1) (c-1) = (c^2+1) (c+1) (c-1) ^2

Кирилка · Answer 2

c^5-c^4-c+1 = c^4 (с-1) - (c-1) = (с^4-1) (c-1) = (c^2-1) (c^2+1) (c-1) = (c-1) (c+1) (c^2+1) (c-1) = (c+1) (c^2+1) (c-1) ^2