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:学生作业帮助网 编辑:作业帮 时间:2024/04/28 12:10:27
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*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*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*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