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madridfans111
@madridfans111
June 2022
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в и г пожалуйста упростите(нужно решение,ответ на в- 3аб(а+б) на г-3аб(б-а)
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MizoriesKun
1)(a+b)³-(a³+b³)=(a+b)³+(a+b)(a²-ab+b²)=(a+b)((a+b)²-(a²-ab+b²))=
=(a+b)(a²+2ab+b²+a+ab+b²)=3ab*(a+b)
2)(a-b)³+(b³-a³)=(a-b)³-(a³-b³)=(a-b)³-(a-b)(a²+ab+b²)=(a-b)((a-b)²-(a²+ab+b²))=
=(a-b)(a²-2ab+b²-a²-ab-b²)=-3ab(a-b)= 3ab(b-a)
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Answers & Comments
=(a+b)(a²+2ab+b²+a+ab+b²)=3ab*(a+b)
2)(a-b)³+(b³-a³)=(a-b)³-(a³-b³)=(a-b)³-(a-b)(a²+ab+b²)=(a-b)((a-b)²-(a²+ab+b²))=
=(a-b)(a²-2ab+b²-a²-ab-b²)=-3ab(a-b)= 3ab(b-a)