Предмет: Алгебра, автор: daniararistan

Разделите многочлен на множители: (2a+b)^4+8(2a+b) =
36x^2-(x+y) ^2=

Ответы

Автор ответа: belcatya

5

Ответ:

(2a+b)^4+8(2a+b) =(2a+b)((2a+b)³+8)=(2a+b)((2a+b)³+2³)=(2a+b)(2a+b+2)((2a+b)²-2(2a+b)+4)=(2a+b+2)(4a²+6ab+b²-4a-2b+4)

36x²-(x+y)²=(6x)²-(x-y)²=(6x+x+y)(6x-(x+y))=(6x+x+y)(6x-x-y)=(7x+y)(5x-y)

Объяснение:

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