已知ab≠0,且1/a+1/b=4,试求4a+3ab+4b/3a-2ab+3b的值拜托了各位
问题描述:
已知ab≠0,且1/a+1/b=4,试求4a+3ab+4b/3a-2ab+3b的值拜托了各位
答
1/a+1/b=4 (a+b)/ab=4 a+b=4ab (4a+3ab+4b)/(3a-2ab+3b) =[4(a+b)+3ab]/[3(a+b)-2ab] =(16ab+3ab)/(12ab-2ab) =19ab/10ab =19/10