Решите уравнение (x-1)(x2+2x+1)=3x+3

Question

Решите уравнение (x-1)(x2+2x+1)=3x+3

Answer 1

( x - 1)(x^2 + 2x + 1) = 3x + 3
( x - 1)(x + 1)(x + 1) = 3( x + 1)
( x - 1)(x + 1)(x + 1) - 3( x + 1) = 0
( x + 1)( x^2 - 1 - 3) = 0
( x + 1)(x^2 - 4) = 0
x+ 1 = 0
x = - 1
x^2 - 4 = 0
x^2 = 4
x = 2
x = - 2
Ответ: x1 = - 1, x2 = 2, x3 = - 2.