
a*a-9=0,试计算(a-1)/(a*a-4a+4)+(a*a-1)/(a*a-4)
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a*a-9=0, a^2=9
(a+3)(a-3)=0
a=-3,a=3
(a-1)/(a*a-4a+4)+(a*a-1)/(a*a-4)
=(a-1)/(a-2)^2+(a^2-1)/(a^2-4)
=(a-1)/(a-2)^2+8/5
当a=3时
原式=(3-1)/(3-2)^2+8/5
=2+8/5
=18/5
当a=-3时,
原式=(-3-1)/(-3-2)^2+8/5
=-4/25+8/5
=36/25
(a+3)(a-3)=0
a=-3,a=3
(a-1)/(a*a-4a+4)+(a*a-1)/(a*a-4)
=(a-1)/(a-2)^2+(a^2-1)/(a^2-4)
=(a-1)/(a-2)^2+8/5
当a=3时
原式=(3-1)/(3-2)^2+8/5
=2+8/5
=18/5
当a=-3时,
原式=(-3-1)/(-3-2)^2+8/5
=-4/25+8/5
=36/25
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