
计算: (1)4/x-2-x+2 (2)1-(a-b/a+2b)÷(a²-b²/a²+4ab+4b²)
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(1)4/(x-2)-x+2
=4/(x-2)-(x-2)
=[4-(x-2)^2]/(x-2)
=(2+x-2)(2-x+2)/(x-2)
=x(4-x)/(x-2)
(2)1-[(a-b)/(a+2b)]÷[(a²-b²)/(a²+4ab+4b²)]
=1-[(a-b)/(a+2b)]*[(a+2b)^2/(a^2-b^2)]
=1-[(a+2b)/(a+b)]
=-b/(a+b) .
=4/(x-2)-(x-2)
=[4-(x-2)^2]/(x-2)
=(2+x-2)(2-x+2)/(x-2)
=x(4-x)/(x-2)
(2)1-[(a-b)/(a+2b)]÷[(a²-b²)/(a²+4ab+4b²)]
=1-[(a-b)/(a+2b)]*[(a+2b)^2/(a^2-b^2)]
=1-[(a+2b)/(a+b)]
=-b/(a+b) .
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