问题
解答题
(1)计算:
(2)解分式方程:
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答案
(1)原式=
•x x-y
-y2 x+y
•x4y (x2+y2)•(x2-y2)
=x2+y2 x2
-xy2 (x+y)(x-y)
=x2y (x+y)(x-y)
=xy2-x2y (x+y)(x-y)
=-xy(y-x) (x+y)(x-y)
;xy x+y
(2)方程两边同乘以最简公分母(x+2)(x-2),
得:(x-2)x-(x+2)2=8,
x2-2x-x2-4x-4=8,
-6x=12
∴x=-2,
经检验:x=-2不是原方程的根,
∴原方程无解.