大师作文网3y/x*x-y*y+x/x*x-2xy+y*y+6y*y/x*x*x-x*x*y-xy*y+y*y*y等于多少?
来源：学生作业帮 编辑：大师作文网作业帮 分类：数学作业 时间：2024/11/19 04:11:50
3y/x*x-y*y+x/x*x-2xy+y*y+6y*y/x*x*x-x*x*y-xy*y+y*y*y等于多少?
3y/(x^2-y^2)+x/(x^2-2xy+y^2)+6y^2/(x^3-x^2y-xy^2+y^3)
=3y/[(x+y)(x-y)]+x/(x-y)^2+6y^2/[(x-y)^2(x+y)]
=3y(x-y)/[(x-y)^2(x+y)]+x(x+y)/[(x-y)^2(x+y)]+6y^2/[(x-y)^2(x+y)]
=[3y(x-y)+x(x+y)+6y^2]/[(x-y)^2(x+y)]
=(x^2+4xy+3y^2)/[(x-y)^2(x+y)]
=(x+3y)(x+y)/[(x-y)^2(x+y)]
=(x+3y)/(x-y)^2
=3y/[(x+y)(x-y)]+x/(x-y)^2+6y^2/[(x-y)^2(x+y)]
=3y(x-y)/[(x-y)^2(x+y)]+x(x+y)/[(x-y)^2(x+y)]+6y^2/[(x-y)^2(x+y)]
=[3y(x-y)+x(x+y)+6y^2]/[(x-y)^2(x+y)]
=(x^2+4xy+3y^2)/[(x-y)^2(x+y)]
=(x+3y)(x+y)/[(x-y)^2(x+y)]
=(x+3y)/(x-y)^2
{(x,y) |x|+|y|
x>y?x:y
因式分解：x×x-xy-2y×y-x-y
1、(-7x^y)(2x^y-3xy^3+xy) 2、((x-y)^6)/((y-x)^3)/(x-y)
化简：x-y/x+3y÷x^-y^2/x^2+6xy+9y^2-(xy/x+y)
[x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y
(x+y)(x-y)-(2xy+3y)平方
（x+y)*（x+1)-(xy+y*y)因式分解为多少
因式分解 x平方y(x-y)-xy平方(x-y)
xy-1+x-y
x^8-x^7y+x^6y^2-x^5y^3+x^4y^4-x^3y^5+x^2y^-xy^7+y^8
x²/xy-x/y