已知1/a+1/b=4,则a+2ab+b/a−ab+b的值是_.

问题描述:

已知

1
a
+
1
b
=4,则
a+2ab+b
a−ab+b
的值是______.

1
a
+
1
b
=4,
∴b+a=4ab,
a+2ab+b
a−ab+b
=
4ab+2ab
4ab−ab
=
6ab
3ab
=2.
故答案为2.