x3+3x2+3x+9如何因式分解?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/27 22:27:51
x3+3x2+3x+9如何因式分解?
x)060bm˧˚t{vX&H;̉*жj45@Z5!@ mcMmc0S djk$AsWx@ 5FqBF)#]#0(I 6W

x3+3x2+3x+9如何因式分解?
x3+3x2+3x+9如何因式分解?

x3+3x2+3x+9如何因式分解?
x^3+3x^2+3X+9
=(x^3+3x^2)+(3x+9)
=x^2(x+3)+3(x+3)
=(x+3)(x^2+3)

x^3+3x^2+3x+9
=(x^3+3x^2)+(3x+9)
=x^2(x+3)+3(x+3)
=(x+3)(x^2+3)

x^3+3x^2+3X+9
=(x+1)^3+2^3
=(x+1+2)[(x+1)^2-2(x+1)+2^2]
=(x+3)(x^2+3)