因式分解：帮个忙 x^3+3x^2+3x-26 x^4-4x+3 a^4+2a^3+2a^2+2a+1 x^3-7x+6 x^3+4x-13x-24 x^4-11x+1
问题描述：
因式分解：帮个忙 x^3+3x^2+3x-26 x^4-4x+3 a^4+2a^3+2a^2+2a+1 x^3-7x+6 x^3+4x-13x-24 x^4-11x+1
答
x^3+3x^2+3x-26 =(x+1)^3-3^3=(x+1-3)((x+1)^2+3(x+1)+3^2)=(x-2)(x^2+5x+13)x^4-4x+3 x^4-4x+3=(x^4-x)-(3x-3)=x(x^3-1)-3(x-1) =x(x-1)(x^2+x+1)-3(x-1)=(x-1)(x^3+x^2+x-3)=(x-1)[(x^3-1)+(x^2-1)+(x-1)]=(x-1)[(...