x+2分之x平方-2x - x-1分之x平方-4X+4 除以x平方-16分之x平方+4x

x+2分之x平方-2x - x-1分之x平方-4X+4 除以x平方-16分之x平方+4x
=x(x-2)/(x+2)÷(x-2)^2/(x-1)÷[x(x+4)/(x+4)(x-4)]
=[x(x-2)/(x+2)]*[(x-1)/(x-2)^2*[(x-4)/x]
=(x-1)(x-4)/(x+2)(x-2)
代入x=2+√2
原式=(1+√2)(√2-2)/(4+√2)√2
=(-√2)/(4√2+2)
=(√2-4)/14