x3+3x2+3x+9如何因式分解?

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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?

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)