计算:(x-2-y-2)÷(x-1-y-1)(结果不含负整数指数幂).-数学

题目简介

计算:(x-2-y-2)÷(x-1-y-1)(结果不含负整数指数幂).-数学

题目详情

计算:(x-2-y-2)÷(x-1-y-1)(结果不含负整数指数幂).
题型:解答题难度:中档来源:不详

答案

方法一:(x-2-y-2)÷(x-1-y-1),
=(class="stub"1
x2
-class="stub"1
y2
)÷(class="stub"1
x
-class="stub"1
y
),
=
y2-x2
x2y2
÷class="stub"y-x
xy

=
(y-x)(y+x)
x2y2
class="stub"xy
y-x

=class="stub"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,
=class="stub"1
x
+class="stub"1
y

=class="stub"x+y
xy

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