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secret13
@secret13
July 2022
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разложите многочлен на множители номер 3(в,г)
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yarovoe
A³+2a²-3=a³+2a²-2-1=(a³-1)+(2a²-2)=(a-1)(a²+a+1)+2(a-1)(a+1)=
(a-1)(a²+a+1+2(a+1))=(a-1)(a²+a+1+2a+2) =(a-1)(a²+3a+3)
2a⁴-a²-1=a⁴+a⁴-a²-1=(a⁴-a²)+(a⁴-1)=a²(a²-1)+(a²-1)(a²+1)=
=(a²-1)(a²+a²+1)=(a-1)(a+1)(2a²+1)
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secret13
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secret13
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Answers & Comments
(a-1)(a²+a+1+2(a+1))=(a-1)(a²+a+1+2a+2) =(a-1)(a²+3a+3)
2a⁴-a²-1=a⁴+a⁴-a²-1=(a⁴-a²)+(a⁴-1)=a²(a²-1)+(a²-1)(a²+1)=
=(a²-1)(a²+a²+1)=(a-1)(a+1)(2a²+1)