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ustjaden
@ustjaden
September 2021
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преобразуйте в многочлен выражения(а-в)^2(а+в)
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nafanya2014
Verified answer
Раскрываем скобки
(a-b)²(a+b)=(a²-2ab+b²)(a+b)=a³-2a²b+b²a+a²b-2ab²+b³=a³-a²b-ab²+b³
или так
(a-b)²(a+b)=(a-b)·(a-b)·(a+b)=(a-b)·(a²-b²)=a³-a²b-ab²+b³
2 votes
Thanks 1
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Answers & Comments
Verified answer
Раскрываем скобки(a-b)²(a+b)=(a²-2ab+b²)(a+b)=a³-2a²b+b²a+a²b-2ab²+b³=a³-a²b-ab²+b³
или так
(a-b)²(a+b)=(a-b)·(a-b)·(a+b)=(a-b)·(a²-b²)=a³-a²b-ab²+b³