解答下列各题:(1)计算:-22×8+|-22|+12sin45°;(2)先化简再求值:(x5+3x3)÷x3-(x+1)2,其中x=-12;(3)化简:2a+1-a-2a2-1÷a2-2aa2-2a

题目简介

解答下列各题:(1)计算:-22×8+|-22|+12sin45°;(2)先化简再求值:(x5+3x3)÷x3-(x+1)2,其中x=-12;(3)化简:2a+1-a-2a2-1÷a2-2aa2-2a

题目详情

解答下列各题:
(1)计算:-22×
8
+|-2
2
|+12sin45°

(2)先化简再求值:(x5+3x3)÷x3-(x+1)2,其中x=-
1
2

(3)化简:
2
a+1
-
a-2
a2-1
÷
a2-2a
a2-2a+1
题型:解答题难度:中档来源:成都

答案

(1)原式=-8
2
+2
2
+6
2
=0;

(2)原式=(x2+3)-(x+1)2=x2+3-x2-1-2x=-2x+2,
x=-class="stub"1
2
代入得:原式=-2x+2=3;

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

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