因式分解x^33x^23x1因式分解x^3+3x^2+3x+1=

因式分解x^33x^23x1因式分解x^3+3x^2+3x+1=: 因式分解 x^3+3 x^2+3x+1=?; 解：x^3+3 x^2+3x+1=x^3+x^2+2x^2+2x+x+1 =(x^3+x^2)+(2x^2+2x)+(x+1) =x^2(x+1)+2x(x+1)+(x+1) =(x+1)(x^2+2x+1) =(x+1)(x+1)^2 =(x+1)^3.