问题 解答题

计算:(x-2-y-2)÷(x-1-y-1)(结果不含负整数指数幂).

答案

方法一:(x-2-y-2)÷(x-1-y-1),

=(

1
x2
-
1
y2
)÷(
1
x
-
1
y
),

=

y2-x2
x2y2
÷
y-x
xy

=

(y-x)(y+x)
x2y2
xy
y-x

=

x+y
xy

方法二:(x-2-y-2)÷(x-1-y-1),

=(x-1-y-1)(x-1+y-1)÷(x-1-y-1),

=x-1+y-1

=

1
x
+
1
y

=

x+y
xy

单项选择题
单项选择题