先化简再求值
来源:学生作业帮助网 编辑:六六作业网 时间:2025/01/27 12:08:18
先化简再求值
先化简再求值
先化简再求值
(X^2-4X+4)/(X^2+X)÷[3/(X+1) -X+1] + 1/(X+2)
=(x-2)²/[x(x+1)] ÷[(3-x²+1)/(x+1)] + 1/(X+2)
=(x-2)²/[x(x+1)] *(x+1)/[-(x+2)(x-2)] + 1/(X+2)
=(x-2)/[-x(x+2)] + 1/(x+2)
=(-x+2+x)/[x(x+2)]
=2/(x^2+2x)
-√11
原式=(x-2)²/x(x+1)÷[3/(x+1)-(x-1)]+1/(x+2)
=(x-2)²/x(x+1)÷(3-x²+1)/(x+1)+1/(x+2)
=(x-2)²/x(x+1)×[-(x+1)/(x+2)(x-2)]+1/(x+2)
=-(x-2)/x(x+2)+x/x(x+2)
=(x-x+2)/(x²+2x)
=2/(x²+2x)
所以令x=3
原式=2/(9+6)=2/15
原式=(x--2)^2/x(x+1)除以(3--x^2+1)/(x+1)+1/(x+2)
=(x--2)^2/x(x+1)乘以--(x+1)/(x+2)(x--2)+1/(x+2)
=--(x--2)/x(x+2)+1/(x+2)
=(--x+2+x)/x(x+2)
...
全部展开
原式=(x--2)^2/x(x+1)除以(3--x^2+1)/(x+1)+1/(x+2)
=(x--2)^2/x(x+1)乘以--(x+1)/(x+2)(x--2)+1/(x+2)
=--(x--2)/x(x+2)+1/(x+2)
=(--x+2+x)/x(x+2)
=2/x(x+2)
当选取x=2时,原式的值=2/2(2+2)
=1/4。
收起
哦,真难呀,我不会。
【x加2】乘8X分之9X加2 选1代入,结果24分之11???如果对请采纳,谢谢
原式=(x-2)^2/(x(x+1))/(4-x^2)(x+1))+1/(x+2)
=(2-x)(2-x))/((2+x)(2-x))+1/(x+2)=(2-x)/(x(2+x))+1/(x+2)
=(2-x+x)/(x+2)=2/(x(x+2))
-√11
取x=3, 则原式=2/15