а) ...= (a^2-a)^2 -1=(a^2-a-1)(a^2-a+1)
б) ...=c^8-(c^2+1)^2=(c^4-c^2-1)(c^4+c^2+1)
в)...= (a+b)(a-b)((a-b)^2-(a+b)^2)=(a+b)(a-b)(a^2-2ab+b^2-a^2-2ab-b^2)=
-4ab(a+b)(a-b)
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Answers & Comments
а) ...= (a^2-a)^2 -1=(a^2-a-1)(a^2-a+1)
б) ...=c^8-(c^2+1)^2=(c^4-c^2-1)(c^4+c^2+1)
в)...= (a+b)(a-b)((a-b)^2-(a+b)^2)=(a+b)(a-b)(a^2-2ab+b^2-a^2-2ab-b^2)=
-4ab(a+b)(a-b)