先化简再求值:(x-2)/(x²-1)÷(2x+2)/(x²+2x+1)+1/(x-1),其中x=-1/2
问题描述:
先化简再求值:(x-2)/(x²-1)÷(2x+2)/(x²+2x+1)+1/(x-1),其中x=-1/2
答
(x-2)/(x²-1)÷(2x+2)/(x²+2x+1)+1/(x-1),其中x=-1/2
=(x-2)/(x+1)(x-1)×(x+1)²/2(x+1)
=(x-2)/2(x-1)
=(-1/2-2)/2(-1/2-1)
=5/6;
很高兴为您解答,skyhunter002为您答疑解惑
如果本题有什么不明白可以追问,答案上的是原式=x/2(x-1)带入后为1/6 只是没有过程、嘿嘿、麻烦重算一下啦、(x-2)/(x²-1)÷(2x+2)/(x²+2x+1)+1/(x-1),其中x=-1/2=(x-2)/(x+1)(x-1)×(x+1)²/2(x+1)+1/(x-1)=(x-2)/2(x-1)+1/(x-1)=(x-2+2)/2(x-1)=x/2(x-1)=(-1/2)/2(-1/2-1)=1/6;您好,很高兴为您解答,skyhunter002为您答疑解惑如果本题有什么不明白可以追问,如果满意记得采纳如果有其他问题请采纳本题后另发点击向我求助,答题不易,请谅解,谢谢。祝学习进步