因式分解.x^3-5x^2+6

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/05 06:22:47

因式分解.x^3-5x^2+6

x^3-5x^2+6
=x^3-5x^2+1+5
=(x^3+1)-(5x^2-5)
=(x^3+1)-5(x^2-1)
=(x+1)(x^2-x+1)-5(x^2-1)
=(x+1)(x^2-x+1)-5(x+1)(x-1)
=(x+1)(x^2-x+1-5x+5)
=(x+1)(x^2-6x+6)

(x+1)(x^2-6x+6)