Question

Разложите на множители: c5 - c4 - c + 1.

Answer 1

$c ^{5} -c ^{4}- c+1=c ^{4} (c-1)-1(c-1)=(c ^{4} -1)(c-1)= \\ =(c^2-1)(c^2+1)(c-1)=(c-1)(c+1)(c^2+1)(c-1)$

Answer 2

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