已知实数a满足(a+5)(a-3)=0 求1/a+1-a+2/a²-1÷(a+1)(a+2)/a²-2a+1
问题描述:
已知实数a满足(a+5)(a-3)=0 求1/a+1-a+2/a²-1÷(a+1)(a+2)/a²-2a+1
答
解(a+5)(a-3)=0a²+2a-15=0a²+2a=151/(a+1)-(a+2)/(a²-1)÷(a+1)(a+2)/(a²-2a+1)=1/(a+1)-(a+2)/(a-1)(a+1)×(a-1)²/(a+1)(a+2)=1/(a+1)-(a-1)/(a+1)²=(a+1-a+1)/(a+1)²=2/(a...