在实数范围内分解因式:x^2(x-根号2)-2(x-根号2)

问题描述:

在实数范围内分解因式:x^2(x-根号2)-2(x-根号2)

χ^ 2 +的X 2 +√2
= ^ 2-2 + X +√2
=(+√2)(√2)+ X +√2 =(+√2)(-√2 +1)

x^2(x-根号2)-2(x-根号2)
=(x-根号2)(x²-2)
=(x-根号2)²(x+根号2)