先化简再求值的方法 先化简,再求值:a+2分之a-1×a²-2a+1分之a²-4÷a²-1分之1,其中a满足a²-a=0
先化简,再求值:a+2分之a-1×a²-2a+1分之a²-4÷a²-1分之1,其中a满足a²-a=0

先化简,再求值:a+2分之a-1×a²-2a+1分之a²-4÷a²-1分之1,其中a满足a²-a=0
化简,得:
=(a-1)/(a+2)(a+2)(a-2)/(a-1)²(a+1)(a-1)
=(a-2)(a+1)
根据a²-a=0得a(a-1)=0 所以a=0或者a-1=0即a=0或者a=1 ∵分母不能为0 ∴a=0
代入求职得:
=(0-2)(0+1)
=-2
先化简,再求值:(a-1)/(a+2)*(a²-4)/(a²-2a+1)÷1/(a²-1),其中a满足a²-a=0
(a-1)/(a+2)*(a²-4)/(a²-2a+1)÷1/(a²-1)
=(a-1)/(a+2)*(a-2)(a+2)/(a-1)^2÷1/(a²-1)
=(a-2)/(a-1)*(a+1)(a-1)
=(a-2)(a+1)
=a^2-a-2
=-2
以后再问的时候请写清楚,你看看这题叫人没法解。
化简并求值:(a²-1分之a-1)-(a²-1分之根号内a²-2a+1),其中a=根号3-1
a=√3-1
所以a-1<0
所以原式=(a-1)/(a+1)(a-1)-√(a-1)²/(a+1)(a-1)
=1/(a+1)-|a-1|/(a+1)(a-1)
=1/(a+1)+|a-1|/(a+1)(a-1)
=2/(a+1)
=2/(√3-1+1)
=2√3/3
先化简,在求值(a²-4/a²-2a+1)乘(a-1/a+2)÷(1/a²-1) 其中a满足a²-a=3
a²-a=3
(a²-4)/(a²-2a+1)乘(a-1)/(a+2)÷ 1/(a²-1)
=(a+2)(a-2)/(a-1)²乘(a-1)/(a+2)乘 (a+1)(a-1)
=(a-2) (a+1)
=a^2-a-2
=3-2
=1
先化简,再求值:[(a²-1)/(a²-4)]•[(a+2)/(a²-2a+1)]•(a²-4a+4
解;原式=[(a-1)(a+1)/(a-2)(a+2)]×[(a+2)/(a-1)²]×(a-2)²/(a+1)
=(a-2)/(a-1)
当a=3时,原式=1/2
先化简,再求值:a²-4a+4分之2a-6× a²+3a分之a-2- a-2分之1,其中a=3分之1
题目是不是这样:
(a²-4a+4)分之(2a-6)× (a²-3a)分之(a-2)- (a-2)分之1
=2(a-3)/(a-2)²×(a-2)/[a(a-3)]-1/(a-2)
=2/[a(a-2)]-1/(a-2)
=(2-a)/[a(a-2)]
=-1/a
=-3
先化简、再求值 a²b+ab²分之a²-b²除以(1-2ab分之a²+b²)其中a=2+根号3 b=
原式=((a²-b²)/(a²b+ab²))/(1-(a²+b²)/2ab
=((a-b)/ab)*(-2ab/(a-b)²)
=-2/(a-b)
先化简再求值;1/[a+1]-[a+3]/[a²-1]×[a²-2a+1]/[a²+4a+3],其中a²+2a-1=0.
1/[a+1]-[a+3]/[a²-1]×[a²-2a+1]/[a²+4a+3]
=1/[a+1]-[a+3]/[(a-1)(a+1)]×[(a-1)²]/[(a+1)(a+3)]
=[(a+1)-(a-1)]/[a+1]²
=2/[a+1]²
a²+2a-1=0
a²+2a+1=2
[a+1]²=2
所以1/[a+1]-[a+3]/[a²-1]×[a²-2a+1]/[a²+4a+3]=1
化简求值:a²-b²分之a²+2ab+b²,其中a=(根号2)+1分之1,b=(根号2)-1分之1
(a²+2ab+b²)/(a²-b²)
=(a+b)²/((a+b)(a-b))
=(a+b)/(a-b)
=(1/b+1/a)/(1/b-1/a)
=(2根号2)/(-2)
=-根号2