先化简,在求值:(a-2/a²+2a - a-1/a²+4a+4)除于a-4/a+2,其中a满足:a2+2a-1=0
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/03 04:35:19
![先化简,在求值:(a-2/a²+2a - a-1/a²+4a+4)除于a-4/a+2,其中a满足:a2+2a-1=0](/uploads/image/z/659634-42-4.jpg?t=%E5%85%88%E5%8C%96%E7%AE%80%2C%E5%9C%A8%E6%B1%82%E5%80%BC%EF%BC%9A%EF%BC%88a-2%2Fa%26%23178%3B%2B2a+-+a-1%2Fa%26%23178%3B%2B4a%2B4%29%E9%99%A4%E4%BA%8Ea-4%2Fa%2B2%2C%E5%85%B6%E4%B8%ADa%E6%BB%A1%E8%B6%B3%EF%BC%9Aa2%2B2a-1%3D0)
先化简,在求值:(a-2/a²+2a - a-1/a²+4a+4)除于a-4/a+2,其中a满足:a2+2a-1=0
先化简,在求值:(a-2/a²+2a - a-1/a²+4a+4)除于a-4/a+2,其中a满足:a2+2a-1=0
先化简,在求值:(a-2/a²+2a - a-1/a²+4a+4)除于a-4/a+2,其中a满足:a2+2a-1=0
a²+2a-1=0
则:
[(a-2)/a(a+2) - (a-1)/(a+2)²] ÷a-4/a+2
=[(a-2)/a(a+2) - (a-1)/(a+2)²] (a+2)/(a-4)
=[(a-2)/a - (a-1)/(a+2)]/(a-4)
=[(a²-4) - (a²-a)]/[a(a+2)(a-4)]
=(a-4)/[a(a+2)(a-4)]
=1/[a²+2a]
=1/[a²+2a-1+1]
=1