化简:(x-y)/(2x+1) * [(2x+1)/(x+y) - (2xy+y)/(y方-x方)]+y/(x+y)
问题描述:
化简:(x-y)/(2x+1) * [(2x+1)/(x+y) - (2xy+y)/(y方-x方)]+y/(x+y)
答
:(x-y)/(2x+1) * [(2x+1)/(x+y) - (2xy+y)/(y方-x方)]+y/(x+y)
=(x-y)/(2x+1) * (2x+1)/(x+y)-(x-y)/(2x+1) * (2xy+y)/(y方-x方)+y/(x+y)
=(x-y)/(x+y)+y/(x+y)+y/(x+y)
=1
答
[(2x+1)/(x+y) - (2xy+y)/(y方-x方)]=[(2x+1)(y-x)/(y^2-x^2) - y(2x+1)/(y^2-x^2)]=(2x+1)(y-x-y)/(y^2-x^2)=-x(2x+1)/(y^2-x^2)(x-y)/(2x+1) * [(2x+1)/(x+y) - (2xy+y)/(y方-x方)]+y/(x+y)=(x-y)/(2x+1) * [-x(...