把3x²y-6xy² 3y²因式分解-搜答案-拍题作业网

原式=(x-2y)(x+y)-3(x-2y)=(x-2y)(x+y-3)

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)

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

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

(1)x^2y-6xy+9y=y(x^2-6x+9)=x(x-3)^2(2)2x^3y^2-16x^2y+32x=2x(x^2y^2-8xy+16)=2x(xy+4)^2(3)16x^5+8x^3y^

3x³-6x²y+3xy²=3x(x²-2xy+y²)=3x(x-y)²

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)

=7x²-4x²+4xy-y²=7x²-(2x-y)²=(√7x+2x-y)(√7x-2x+y)本题答案不唯一的

X2-3xy-10y2=X2-4y2-6y2-3Xy=(x+2y)(x-2y)-3y(2y-x)=(x-2y)(x+2y+3y)=(x-2y)(x+5y)

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)=(

5x²-5xy+3y²不好分解因式很高兴为您解答,skyhunter002为您答疑解惑如果本题有什么不明白可以追问,再问：不对哦，可以做的哦，是（5x-3y)(x-y），突然想起来

3x²y-6xy²+3y²=3y(x²-2xy+y)楼上的把小孩都要教傻

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

是不是x^3y+x^2y+2xy^2-4xy^3原式=xy(x^2-4y^2)+x^2y+2xy^2=xy(x+2y)(x-2y)+xy(x+2y)=xy(x+2y)(x-2y+1)

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).

解题思路：先用十字相乘法、再运用平方差公式可解。解题过程：同学：另两道题目，我一时间没能解答出来，请你再检查一下原题。很抱歉，请你原谅！

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

用提取公因式法,提取（x+3y)原式=（x+3y)[(3x-4y)-(x-2y)]=(x+3y)(2x-2y)=2(x+3y)(x-y)