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【(x²-4)/(x+1)】²÷【(x³-3x²+2x)/(x²-1)】²•【x/(x+2)】³
=【(x²-4)/(x+1)】²•【(x²-1)/(x³-3x²+2x)】²•【x/(x+2)】³
=【(x-2)(x+2)/(x+1)】²•【(x-1)(x+1)/[x(x-1)(x-2)]】²•【x/(x+2)】³
=【(x-2)(x+2)/(x+1)】²•【(x+1)/[x(x-2)]】²•【x/(x+2)】³
={【(x-2)(x+2)/(x+1)】•【(x+1)/[x(x-2)]】}²•【x/(x+2)】³
=【(x+2)/x】²•【x/(x+2)】³
=x/(x+2)
当x=-2/3时
原式=-1/2
=【(x²-4)/(x+1)】²•【(x²-1)/(x³-3x²+2x)】²•【x/(x+2)】³
=【(x-2)(x+2)/(x+1)】²•【(x-1)(x+1)/[x(x-1)(x-2)]】²•【x/(x+2)】³
=【(x-2)(x+2)/(x+1)】²•【(x+1)/[x(x-2)]】²•【x/(x+2)】³
={【(x-2)(x+2)/(x+1)】•【(x+1)/[x(x-2)]】}²•【x/(x+2)】³
=【(x+2)/x】²•【x/(x+2)】³
=x/(x+2)
当x=-2/3时
原式=-1/2
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