先化简:(x²+2x+1)/(x-2) ÷(x²-1)/(x-1)+1/(2-x) ,在选择一个合适的数代入求值急用,

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/10 19:46:38
先化简:(x²+2x+1)/(x-2) ÷(x²-1)/(x-1)+1/(2-x) ,在选择一个合适的数代入求值急用,

先化简:(x²+2x+1)/(x-2) ÷(x²-1)/(x-1)+1/(2-x) ,在选择一个合适的数代入求值急用,
先化简:(x²+2x+1)/(x-2) ÷(x²-1)/(x-1)+1/(2-x) ,在选择一个合适的数代入求值
急用,

先化简:(x²+2x+1)/(x-2) ÷(x²-1)/(x-1)+1/(2-x) ,在选择一个合适的数代入求值急用,
原式=(x+1)²/(x-2)÷(x²-1)/(x-1)+1/(2-x) ,
=(x+1)²/(x-2)× 1/(x+1)+1/(2-x) ,
=x+1/x-2 + 1/(2-x) ,
=x+1/x-2 - 1/x-2
=x/x-2
取一个不等于2,不等于1的数代入即可,(尽量取一些好计算的数)
这是我自己做的,希望采纳.

原式=(x+1)²/(x-2)×(x-1)/(x+1)(x-1)-1/(x-2)
=(x+1)/(x-2)-1/(x-2)
=x/(x-2)


(x+1)²/(x-2)*(x-1)/(x+1)(x-1)+1/(2-x)
=(x+1)/(x-2)+1/(2-x)
=(x+1)/(x-2)+1/(x-2)
=(x-1)/(x-2)
祝你学习进步