已知x分之4x+3=0,求分式(x^3+x^2)分之(2x-x^2)×(x^2-4x+4)分之(x^2+2x+1)的值

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已知x分之4x+3=0,求分式(x^3+x^2)分之(2x-x^2)×(x^2-4x+4)分之(x^2+2x+1)的值
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已知x分之4x+3=0,求分式(x^3+x^2)分之(2x-x^2)×(x^2-4x+4)分之(x^2+2x+1)的值
已知x分之4x+3=0,求分式(x^3+x^2)分之(2x-x^2)×(x^2-4x+4)分之(x^2+2x+1)的值

已知x分之4x+3=0,求分式(x^3+x^2)分之(2x-x^2)×(x^2-4x+4)分之(x^2+2x+1)的值
x=-3/4 带进去算

由(4x+3)/x=0知x=-3/4
(x^3+x^2)分之(2x-x^2)×(x^2-4x+4)分之(x^2+2x+1)
=[x(2-x)/(x^2(x+1))]*[(x+1)^2/(x-2)^2]
=(1/x)*[x+1)/(2-x)]
=(x+1)/x(2-x)
=(-3/4+1)/[(-3/4)*(2+3/4)]
=(1/4)/(-33/16)
=-4/33