分式化简：[(x+2)/(x^2-2x)-(x-1)/(x^2-4x+4)]/(x-4)/(x^3-2x^2)
x/(x-2)
附扰拆念图缓困御唯:
[(x+2)/隐伏谈(x^2-2x)-(x-1)/(x^2-4x+4)]/(x-4)/(x^3-2x^2)
=(x+2)x^2(x-2)/灶碰[x(x-2)(x-4)]-(x-1)x^2(x-2)/[(x-2)^2(x-4)]
=(x+2)x/(x-4)-(x-1)x^2/[(x-2)(x-4)]
=(x^3-4x-x^3+x^2)/厅兄[(x-2)(x-4)]
=x(x-4)/[(x-2)(x-4)]
=x/(x-2)
[(x+2)/(x^2-2x)-(x-1)/(x^2-4x+4)]/[(x-4)/(x^3-2x^2)]
=[(x+2)/x(x-2)-(x-1)/(x-2)^2]/[(x-4)/x^2(x-2)]
={[(x+2)(x-2)-x(x-1)]/此链x(x-2)^2}/[(x-4)/x^2(x-2)]
=[(x^2-4-x^2+x)/(x-2)]/[(x-4)/森郑孙x]
=[(x-4)/(x-2)]/[(x-4)/x]
=x/丛芦(x-2)
x/(x-2)