Запишите многочленом выражение:
а)(a-b)^2(a+b)
б)(v^2+7)(v^4-49)(v^2-7)
a) (a^2-2ab+b^2)(a+b)=a^3-2a^2b-ab^2+a^2b+b^3
а). (a-b)^2(a+b) = (а-b)(a-b)(a+b)=(a-b)(a²-b²)=a³-a²b-ab²+b³
б)(v^2+7)(v^4-49)(v^2-7) = (v⁴-49)(v⁴-49)=(v⁴-49)²=v⁸-2*49v⁴+49²=v⁸-98v⁴+2401
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Answers & Comments
a) (a^2-2ab+b^2)(a+b)=a^3-2a^2b-ab^2+a^2b+b^3
а). (a-b)^2(a+b) = (а-b)(a-b)(a+b)=(a-b)(a²-b²)=a³-a²b-ab²+b³
б)(v^2+7)(v^4-49)(v^2-7) = (v⁴-49)(v⁴-49)=(v⁴-49)²=v⁸-2*49v⁴+49²=v⁸-98v⁴+2401