已知:1/x+1/y=4,则2x+xy+2y/3x-4xy+3y=_.
问题描述:
已知:
+1 x
=4,则1 y
=___.2x+xy+2y 3x-4xy+3y
答
∵
+1 x
=4,1 y
∴x+y=4xy,
∴原式=
xy+2(x+y) 3(x+y)-4xy
=
xy+8xy 12xy-4xy
=
9xy 8xy
=
.9 8
故答案为:
.9 8