化简分式:2a2+3a+2a+1-a2-a-5a+2-3a2-4a-5a-2+2a2-8a+5a-3.-数学

题目简介

化简分式:2a2+3a+2a+1-a2-a-5a+2-3a2-4a-5a-2+2a2-8a+5a-3.-数学

题目详情

化简分式:
2a2+3a+2
a+1
-
a2-a-5
a+2
-
3a2-4a-5
a-2
+
2a2-8a+5
a-3
题型:解答题难度:中档来源:不详

答案

2a2+3a+2
a+1
-
a2-a-5
a+2
-
3a2-4a-5
a-2
+
2a2-8a+5
a-3

=(2a+1)+class="stub"1
a+1
-(a-3)-class="stub"1
a+2
-(3a+2)+class="stub"1
a-2
+(2a-2)-class="stub"1
a-3

=[(2a+1)-(a-3)-(3a+2)+(2a-2)]+(class="stub"1
a+1
-class="stub"1
a+2
+class="stub"1
a-2
-class="stub"1
a-3

=class="stub"1
a+1
-class="stub"1
a+2
+class="stub"1
a-2
-class="stub"1
a-3

=class="stub"1
(a+1)(a+2)
-class="stub"1
(a-2)(a-3)

=class="stub"-8a+4
(a+1)(a+2)(a-2)(a-3)

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