一道分式数学题[1/a-2 + a²-1/(a+2)(a-1)] / (a/a+2)²化简求值,其中a=2500
问题描述:
一道分式数学题
[1/a-2 + a²-1/(a+2)(a-1)] / (a/a+2)²
化简求值,其中a=2500
答
[1/(a-2)+(a²-1)/(a+2)(a-1)]/[a/(a+2)]²=[1/(a-2)+(a+1)*(a-1)/(a+2)(a-1)]/[a/(a+2)]²=[1/(a-2)+(a+1)/(a+2)]/[a/(a+2)]²=[(a+2)+(a+1)(a-2)]/[(a+2)*(a-2)]/[a/(a+2)]²=a²/[(a+2)*...