分解因式(x y)²-6x² 6y² 9(x-y)²-搜答案-智慧作业帮

原式=(x-2y)(x+y)-3(x-2y)=(x-2y)(x+y-3)

原式=x²-6xy+9y²-14y²=(x-3y)²-14y²=(x-3y+√14y)(x-3y-√14y)

2x^2+xy-y^2-4x+5y-6=(2x-y)(x+y)-4x+5y-6=(2x-y)(x+y)+(2x+2y)-6x+3y-6=(2x-y)(x+y)+2(x+y)-6x+3y-6=(x+y)

2.6x²-13xy+6y²+22x-23y+20=(2x-3y)(3x-2y)+22x-23y+4×5=(2x-3y+4)(3x-2y+5)3.(x²+4x+8)

-x立方y+6x方y-8xy=-xy(x^2-6x+8)=-xy(x-2)(x-4)

x²+3xy+2y²+5x+7y+6=(x+2y)(x+y)+5x+7y+6十字相乘x+2y+3x+y+2=(x+2y+3)(x+y+2)或是用双十字相乘x²+3xy+2

x^2+3xy+2y^2+5x+8y+6=（x+y)(x+2y)+5x+8y+6=(x+y+3)(x+2y+2)x+y3x+2y2

分析由于(x2+3xy+2y2)=(x+2y)(x+y),若原式可以分解因式,那么它的两个一次项一定是x+2y+m和x+y+n的形式,应用待定系数法即可求出m和n,使问题得到解决．解设x2+3xy+2

2x^2+xy-y^2-4x+5y-6=(2x-y)(x+y)-4x+5y-6=(2x-y)(x+y)+(2x+2y)-6x+3y-6=(2x-y)(x+y)+2(x+y)-6x+3y-6=(x+y)

双十字相乘.

4x^2-12xy+9y^2-2x+3y-6=(4x^2-12xy+9y^2)-(2x-3y）-6=（2x-3y）^2-(2x-3y)-6=(2x-3y+2)(2x-3y-3)

x^2-6xy+9y^2-2x+6y=(x^2-6xy+9y^2)-(2x-6y)=(x-3y)^3-2(x-3y)=(x-3y)(x-3y-2)

3x^3+2x^2y-19xy^2+6y^3=(3x^3-x^2y)+(3x^2y-19xy^2+6y^3)=x^2(3x-y)+y(3x-y)(x-6y)=(3x-y)(x^2+xy-6y^2)=(

12x^2+xy-6y^2=(4x+3y)(3x-2y)

6x^3-5x^2y-3xy^2+2y^3=6x^2*(x-y)+x^2y-xy^2-2y^2(x-y)=6x^2*(x-y)+xy(x-y)-2y^2(x-y)=(x-y)(6x^2+xy-2y^2

x^2+xy-6y^2-6x+2y+8=(x-2y)(x+3y)-(2x+6y)-(4x-8y-8)=(x-2y)(x+3y)-2(x+3y)-4(x-2y-2)=(x+3y)(x-2y-2)-4(x

原式=2x^2+(3y-1)x-2(y^2-4y+3)=2x^2+(3y-1)x-(2y-2)(y-3)=(x+2y-2)(2x-y+3).

x²-2xy+y²-5x+5y-6=(x-y)²-5(x-y)-61-611=(x-y-6)(x-y+1)

3x²-6xy-3y=3(x²-2xy-y)你的题目是不是错了啊,估计是3x²-6xy+3y²3x²-6xy+3y²=3(x²-2

6x³y（x-y)³-4xy³(y-x)²＝6x³y（x-y)³-4xy³(x-y)²=2xy(x-y)²[3