作业帮化简[(a³+2a²+4a)/(a³-8)-10/(a²+a-6)]/[1-21
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/23 10:30:48
化简[(a³+2a²+4a)/(a³-8)-10/(a²+a-6)]/[1-21/(a²-4)]乘以(a+3)/(a-2)
[(a³+2a²+4a)/(a³-8)-10/(a²+a-6)]/[1-21/(a²-4)]乘以(a+3)/(a-2)
=[a(a²+2a+4)/(a-2)(a²+2a+4)-10/(a-2)(a+3)]/[(a²-25)/(a²-4)]×(a+3)/(a-2)
=[a/(a-2)-10/(a-2)(a+3)]×[(a+2)(a-2)/(a+5)(a-5)]×(a+3)/(a-2)
=(a²+3a-10)/(a-2)×(a+2)/(a+5)(a-5)
=(a-2)(a+5)/(a-2)×(a+2)/(a+5)(a-5)
=(a+2)/(a-5)
=[a(a²+2a+4)/(a-2)(a²+2a+4)-10/(a-2)(a+3)]/[(a²-25)/(a²-4)]×(a+3)/(a-2)
=[a/(a-2)-10/(a-2)(a+3)]×[(a+2)(a-2)/(a+5)(a-5)]×(a+3)/(a-2)
=(a²+3a-10)/(a-2)×(a+2)/(a+5)(a-5)
=(a-2)(a+5)/(a-2)×(a+2)/(a+5)(a-5)
=(a+2)/(a-5)
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