1、6y²-13y+6=(2y-3)(3y-2)
2、3x²y²-10xy-15y²=y(3x²y-10x-15y)
3、3x²-5xy-y²=3[x-(5+√37)y/6][x-(5-√37)y/6],-----√37,即为根号37
4、(x²+x)²-2x(x+1)-3 =[x(x+1)]²-2x(x+1)-3=[x(x+1)+1}[x(x+1)-3]=(x²+x+1)(x²+x-3)=(x²+x+1)(x+1+√13)(x+1-√13)
1、6y²-13y+6=(2y-3)(3y-2)
2、3x²y²-10xy-15y²=y(3x²y-10x-15y)
3、3x²-5xy-y²=3[x-(5+√37)y/6][x-(5-√37)y/6],-----√37,即为根号37
4、(x²+x)²-2x(x+1)-3 =[x(x+1)]²-2x(x+1)-3=[x(x+1)+1}[x(x+1)-3]=(x²+x+1)(x²+x-3)=(x²+x+1)(x+1+√13)(x+1-√13)