问题 解答题
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.
答案

(1)原式=-

1
4
+
1
4
+(
3
-
2
)-(
3
-
2
)+2=2;

(2)原式=x4÷(

1
4
x2)+2x3÷(
1
4
x2)-
1
2
x2÷(
1
4
x2)=4x2+8x-2;

(3)原式=(a2-b2)(a2+b2)-(a2-b22

=(a2-b2)(a2+b2-a2+b2),

=(a2-b2)•2b2

=(16-1)×2,

=30.

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