问题 解答题
计算或化简
(1)计算:
x2
y-x
-
y2
y-x

(2)先化简,再求值:(
3x
x-1
-
x
x+1
)•
x2-1
x
,其中x=2.
答案

(1)原式=

x2-y2
y-x

=

(x+y)(x-y)
y-x

=-(x+y);

(2)原式=

3x(x+1)-x(x-1)
(x+1)(x-1)
(x+1)(x-1)
x

=

x(x2+4)
(x+1)(x-1)
(x+1)(x-1)
x

=2x+4,

当x=2时,原式=4+4=8.

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