作业帮因式分解:-3x³y² 6x²y³-3xy的四次方
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/26 15:30:28
原式=-(x-y)³(x-y-1)
(x-y)^2-(x-y)^3=(x-y)^2[1-(x-y)]=(x-y)^2(1-x+y)2.（x+y）^2-（x+y）^3=（x+y)^2[1-(x+y)]=(x+y)^2(1-x-y)3、（x
3（x-y)²-6（y-x)=3（y-x）(y-x-2)
解题思路：本题主要利用完全平方公式进行因式分解即可求出结果解题过程：解:x²－6xy＋9y²=(x-3y)2
=3（x+y)2
3x^2(x-y)+6x(y-x)=3x^2(x-y)-6x(x-y)=(x-y)(3x^2-6x)=3x(x-y)(x-2)
6x(x-y)^2-8y(y-x)^3=6x(x-y)^2+8y(x-y)^3=2(x-y)^2[3x-4y(x-y)]=2(x-y)^2(3x-4xy+4y^2)
3(x-2y)-x²y(2y-x)=3(x-2y)+x²y(x-2y)=(x-2y)(3+x²y)
(x-y)^2-3(x-y+6)＝﹙x－y﹚²－3﹙x－y﹚－18＝﹙x－y－6﹚﹙x－y＋3﹚.
(x-y)x^6+(y-x)y^6=(x-y)x^6-(x-y)y^6=(x-y)(x^6-y^6)=(x-y)(x³+y³)(x³-y³)=(x-y)(x+y
(x+y)ˆ2-2(x+y)(x-y)+(x-y)ˆ2=（x+y-x+y）^2=(2y)^4=4y^2如果满意请点击右上角评价点【满意】即可~再问：这个我看不懂，能不能写下来啊，谢
原式=(x+y)²+(x+y)-6=(x+y+3)(x+y-2)
3(x-2y)^2-3x+6y=3(x-2y)^2-3(x-2y)=3(x-2y)(x-2y-1)
6x(x-y)^2+3(y-x)^3=6x(x-y)^2-3(x-y)^3=3(x-y)^2[2x-(x-y)]=3(x-y)^2(x+y)
6x(3x-y)-3y(y-3x)=6x(3x-y)-3y{-(3x-y)}=6x(3x-y)+3y(3x-y)=(3x-y)(6x+3y)=3(2x+y)(3x-y)
=3x²y(2x-y-6y²)再问：不会这么简单哦再答：就是一个很简单的因式分解题，只要提取公因式3x²y即可
(x+y)^2-3(x+y)=(x+y)(x+y-3)
这个不能分解的,题目错了
3x^2y-3xy-6y=3y(x²-x-2)=3y(x-2)(x+1);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：我算出来是y（x-6）（x+