Question

(x+2)³=x³+8

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Answer 1

Ответ:

(x+2)³=x³+8

(х+2)³=(х+2)(х²-2х+4)

(х+2)³-(х+2)(х²-2х+4)=0

(х+2)((х+2)²-(х²-2х+4))=0

(х+2)((х+2)²-х²+2х-4)=0

1) х+2=0 → х=-2

2) (х+2)²-х²+2х-4=0

х²+4х+4-х²+2х-4=0

6х=0 → х=0

Ответ:

$x_{1} = - 2 \\ x_{2} = 0$