Предмет: Алгебра, автор: ilgizzatov

разложите на множители
1) 3x+xy^2-x^2y-3y
2) a^2b-2b+ab^2-2a

Ответы

Автор ответа: розо4ка02

1) метод группировки
(3х-х2у)+(ху2-3у)
выносим из первой скобки х получаем : х(3-ху)
выносим из второй скобки у получаем: у(ху-3)
получаем х(3-ху)+у(ху-3) , видим одинаковые скобки, но во второй скобки они поменены местами , поэтому мы выносим -
значит получится х(3-ху)-у(3-ху), вот теперь разложили на множители
(х-у)(3-ху).

2) тоже самое
(а2в-ав2)+(-2в-2а)
ав(а-в)-2(в-а) выносим - чтобы одинаковые скобки были
(ав+2)(а-в)

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разложите на множители 1) 3x+xy^2-x^2y-3y 2) a^2b-2b+ab^2-2a

Ответы

разложите на множители
1) 3x+xy^2-x^2y-3y
2) a^2b-2b+ab^2-2a