Предмет: Алгебра, автор: innav6340

Подайте у вигляді добутку вираз (b-5)^3 - 125 =

Ответы

Автор ответа: MagdaSinger

1

Ответ:

$(b-5) ^ { 3 } -125 =(b-10)((b-5)^2+5b)$

Объяснение:

alinadmitrievna81: помогите пожалуйста с алгеброй

Автор ответа: Аноним

1

Ответ: (b-5)³ - 125=(b-10)*b*(b-5)

Объяснение:

а³-с³=(а-с) *(а²+ас+с²) - разность кубов так расписывается.

здесь в качестве а выступает(b-5) . а в качестве с 5, т.к. 125=5³, применим данную формулу для разложения выражения (b-5)³ - 125 =(b-5)³ - 5³ в виде произведения.

(b-5)³ - 5³ =(b-5- 5)*(b²-10b+25+(b-5)*5)=(b-10)*(b²-10b+25+5b-25)=

(b-10)*(b²-5b)=(b-10)*b*(b-5)

alinadmitrievna81: помогите пожалуйста с алгеброй

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As usually grandpa helped her every step of the way.
I never doubted my grandparents relations.
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