先化简再求值:(a-1)/(a^2-4a+4)×(a^2 - 4)/(2a-2),其中a=-1
2个回答
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a-1/a^2-4a+4 * a^2-4/2a-2
=a-1/a^2-4a+4(a^2-1)/2(a-1)
=a-1/a^2-4a+4(a+1)(a-1)/2(a-1)
=a-1/a^2-4a+2(a+1)
=a-1/a^2-4a+2a+2
=a-1/a^2-2a+2
=a-1/a^2-2(a-1)
=a-1/a^2-2(a-1)a^2/a^2
=((a-1)-2(a-1)a^2)/a^2
=(a-1-2a^3+a^2)/a^2
a=-1时,原式=1
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=a-1/a^2-4a+4(a^2-1)/2(a-1)
=a-1/a^2-4a+4(a+1)(a-1)/2(a-1)
=a-1/a^2-4a+2(a+1)
=a-1/a^2-4a+2a+2
=a-1/a^2-2a+2
=a-1/a^2-2(a-1)
=a-1/a^2-2(a-1)a^2/a^2
=((a-1)-2(a-1)a^2)/a^2
=(a-1-2a^3+a^2)/a^2
a=-1时,原式=1
【【如果回答让你满意, 请采纳!你开☆,我也会开★.祝你好运!!】】
追问
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追答
(a-1)/(a^2-4a+4)×(a^2 - 4)/(2a-2)
=(a-1)(a+2)(a-2)/[(a-2)^2 *2(a-1)]
=(a+2) /2(a-2)
a=-1时,原式=-1/6
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