计算:(1)aa+1+a-1a2-1;(2)x-yx+3y÷x2-y2x2+6xy+9y2-2yx+y.-数学

题目简介

计算:(1)aa+1+a-1a2-1;(2)x-yx+3y÷x2-y2x2+6xy+9y2-2yx+y.-数学

题目详情

计算:
(1)
a
a+1
+
a-1
a2-1

(2)
x-y
x+3y
÷
x2-y2
x2+6xy+9y2
-
2y
x+y
题型:解答题难度:中档来源:不详

答案

(1)原式=
a(a-1)
a2-1
+class="stub"a-1
a2-1

=
a2-a+a-1
a2-1

=
a2-1
a2-1

=1;

(2)原式=class="stub"x-y
x+3y
(x+3y)2
(x+y)(x-y)
-class="stub"2y
x+y

=class="stub"x+3y
x+y
-class="stub"2y
x+y

=class="stub"x+y
x+y

=1.

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