x-1分之x平方-1-x（a-b分之a+b）平方乘4a+4b分之a-b-a平方-b平方分之a平方÷b分之a

Question

x-1分之x平方-1-x （a-b分之a+b）平方乘4a+4b分之a-b-a平方-b平方分之a平方÷b分之a

Answer 1

原式=x²/(x-1)-(x+1)
=[x²-(x+1)(x-1)]/(x-1)
=(x²-x²+1)/(x-1)
=1/(x-1)
原式=(a+b)²/(a-b)²×(a-b)/4(a+b)-a²/(a+b)(a-b)×b/a
=(a+b)/4(a-b)-ab/(a+b)(a-b)
=[(a+b)²-4ab]/4(a+b)(a-b)
=(a-b)²/4(a+b)(a-b)
=(a-b)/(4a+4b)