若a+b=4ab,则代数式2ab分之2a-ab+2b的值为.

问题描述:

若a+b=4ab,则代数式2ab分之2a-ab+2b的值为.

(2a-ab+2b)/2ab
=[2(a+b)-ab]/2ab
=(2*4ab-ab)/2ab
=7ab/2ab
=7/2

因为:a + b = 4ab
所以:(2a - ab + 2b)/(2ab)
= [ 2(a+b) - ab]/(2ab)
= ( 2 ×4ab - ab)/(2ab)
= (8ab - ab )/(2ab)
= 7/2