(x-1+1/x+1)÷(x+x/x-1)怎么算?现在就要!

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/28 21:04:28
(x-1+1/x+1)÷(x+x/x-1)怎么算?现在就要!
xQMO@+Pؙ~h#H1iKVƉ ,a֓I@=SiivW<;??lI0 M:͡ĀNpMK'|?e5pC,M'f4+`6+nڭFLzV,S © V6SJ -hu)8rTSF@-PƨЦPt`]Ŷ-SͲEe_DEQ,8Ja"]X!&H1B۹f.7!qXj~ =r"+h(FZv{鍻W#c_L#T6@w&۟yxzKwևqoaxctrCx n87obrïُsaQ/6ߋE'bel틫7|ţaw%oE

(x-1+1/x+1)÷(x+x/x-1)怎么算?现在就要!
(x-1+1/x+1)÷(x+x/x-1)怎么算?现在就要!

(x-1+1/x+1)÷(x+x/x-1)怎么算?现在就要!
原式
=[(x-1)(x+1)+1]/(x+1)÷[x(x-1)+x]/(x-1)
=[x²-1+1]/(x+1)÷[x²-x+x]/(x-1)
=x²/(x+1)÷x²/(x-1)
=x²/(x+1)*(x-1)/x²
=(x-1)/(x+1)

先算括号里的,X-1可以看成(x-1)/1,通分,分母为x+1,右边的同理x变为【x(x-1)】/(x-1),进行计算,懂吧?