化简:[a2-b2a2+2ab+b2+2ab÷(1a+1b)2]•2a2-b2+2ab-数学

题目简介

化简:[a2-b2a2+2ab+b2+2ab÷(1a+1b)2]•2a2-b2+2ab-数学

题目详情

化简:[
a2-b2
a2+2ab+b2
+
2
ab
÷(
1
a
+
1
b
2]•
2
a2-b2+2ab
题型:解答题难度:中档来源:不详

答案

原式=[
(a+b)(a-b)
(a+b)2
+class="stub"2
ab
×
a2b2
(a+b)2
class="stub"2
a2-b2+2ab

=[
a2-b2
(a+b)2
+class="stub"2ab
(a+b)2
class="stub"2
a2-b2+2ab

=class="stub"2
(a+b)2

故答案为class="stub"2
(a+b)2

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