因式分解x3+6x(x+2)+9
问题描述：
因式分解x3+6x(x+2)+9
答
x3+6x(x+2)+9
=x^3+6x^2+12x+9
=(x^3+3x^2)+(3x^2+12x+9)
=x^2(x+3)+3(x+1)(x+3)
=(x+3)(x^2+3x+3)
提示：拆项法+分组分解法x6+10x3+16x^6+10x^3+16=(x^3)^2+10x^3+16=(x^3+2)(x^3+8)=(x^3+2)(x+2)(x^2-2x+4)提示：整体思想+立方和公式(a2-6b2)2-25a2b2