计算:(1)-122+116+|2-3|-(3-2)+38;(2)(x4+2x3-12x2)÷(-12x)2;(3)化简求值:(a2+b2)(a2-b2)-(a+b)2(a-b)2,其中a=4,b=1

题目简介

计算:(1)-122+116+|2-3|-(3-2)+38;(2)(x4+2x3-12x2)÷(-12x)2;(3)化简求值:(a2+b2)(a2-b2)-(a+b)2(a-b)2,其中a=4,b=1

题目详情

计算:
(1)-
1
22
+
1
16
+|
2
-
3
|-(
3
-
2
)+
38

(2)(x4+2x3-
1
2
x2)÷(-
1
2
x)2

(3)化简求值:(a2+b2)(a2-b2)-(a+b)2(a-b)2,其中a=4,b=1.
题型:解答题难度:中档来源:不详

答案

(1)原式=-class="stub"1
4
+class="stub"1
4
+(
3
-
2
)-(
3
-
2
)+2=2;
(2)原式=x4÷(class="stub"1
4
x2)+2x3÷(class="stub"1
4
x2)-class="stub"1
2
x2÷(class="stub"1
4
x2)=4x2+8x-2;
(3)原式=(a2-b2)(a2+b2)-(a2-b2)2,
=(a2-b2)(a2+b2-a2+b2),
=(a2-b2)•2b2,
=(16-1)×2,
=30.

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