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化简求值:(x^2-6x+9/x^2+4x+4)/(x^2-9/x)*(x^2+3x/3-x),其中x=2
人气:257 ℃ 时间:2020-05-31 04:54:32
解答
原式=[(x²-6x+9)/(x²+4x+4)]÷[(x²-9)/x]×[(x²+3x)/(3-x)]
=[(x-3)²/(x+2)²]÷[(x+3)(x-3)/x]×[-x(x+3)/(x-3)]
=[(x-3)²/(x+2)²]×{x/[(x+3)(x-3)]×[-x(x+3)/(x-3)]
=-x²/(x+2)²
=-2²/(2+2)²
=-4/16
=-1/4还有个:先化简 再求值:(m-2/m^2+2m+1)/(1/m^2+m)*(m^2-1/2-m),其中m=-1/2可以了,同学:原式=[(m-2)/(m+1)²]÷{1/[m(m+1)]}×[-(m+1)(m-1)/(m-2)]=[(m-2)/(m+1)²]×m(m+1)×[-(m+1)(m-1)/(m-2)]=-m(m-1)=(1/2)×(-1/2-1)=(1/2)×(-3/2)=-3/4
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