附加题:已知1/a+1/b=4,则a−3ab+b2a+2b−7ab=_.

问题描述:

附加题:已知

1
a
+
1
b
=4,则
a−3ab+b
2a+2b−7ab
=______.

1
a
+
1
b
=4,
∴a+b=4ab,
a−3ab+b
2a+2b−7ab
=
a+b−3ab
2(a+b)−7ab
=
4ab−3ab
8ab−7ab
=1.