化简:x-yx+3y÷x2-y2x2+6xy+9y2-2yx+y-数学

题目简介

化简:x-yx+3y÷x2-y2x2+6xy+9y2-2yx+y-数学

题目详情

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

答案

原式=class="stub"x-y
x+3y
x2+6xy+9y2
x2-y2
-class="stub"2y
x+y

=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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