作业帮[a/(a-1)+a/(a+2)](a+2)/(2a平方+3a+1)化简
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/28 06:59:16
/(2a平方+3a+1)化简](/uploads/image/z/1999356-60-6.jpg?t=%5Ba%2F%28a-1%29%2Ba%2F%28a%2B2%29%5D%28a%2B2%29%2F%282a%E5%B9%B3%E6%96%B9%2B3a%2B1%29%E5%8C%96%E7%AE%80)
[a/(a-1)+a/(a+2)](a+2)/(2a平方+3a+1)化简
[a/(a-1)+a/(a+2)](a+2)/(2a平方+3a+1)化简
[a/(a-1)+a/(a+2)](a+2)/(2a平方+3a+1)化简
[a/(a-1)+a/(a+2)](a+2)/(2a平方+3a+1)
=[a^2+2a/(a-1)+a]/(2a+1)(a+1)
=(2a^2+a)/(a-1)(a+1)(2a+1)
=a/(a-1)(a+1)
原式=a(a+2+a-1)/(a-1)(a+2)*(a+2)/(a+1)(2a+1)
=a(a+1)/(a-1)(a+2)*(a+2)/(a+1)(2a+1)
=a/[(a-1)(2a+1)]
=a/(2a²-a-1)
最后得出a/(a平方-1)