化简代数式:(x的平方-2x/x的平方-1)/(x-1-2x-1/x+1)后面的/:大括号x-1-小括号2x-1/x+1小括号再大括号
问题描述:
化简代数式:(x的平方-2x/x的平方-1)/(x-1-2x-1/x+1)
后面的/:大括号x-1-小括号2x-1/x+1小括号再大括号
答
原式=2/(a-1)-[(a+2)/(a+9)(a-1)]×2(a+9)/3]
=2/(a-1)-2(a+2)/3(a-1)
=[6-2(a+2)]/3(a+1)
=(2-2a)/(3a+3)
413564161原式=2/(a-1)-[(a+2)/(a+9)(a-1)]×2(a+9)/3]
=2/(a-1)-2(a+2)/3(a-1)
=[6-2(a+2)]/3(a+1)
=(2-2a)/(3a+3)
413564161
答
原式=(x²-2)/(x+1)(x-1)÷[(x²-1-2x+1)/(x+1)
=(x²-2)/(x+1)(x-1)×(x+1)/(x²-2)
=1/(x-1)