问题 解答题
计算:
(1)(-
1
3
-2+(
1
9
0+(-5)3÷(-5)2
(2)(4m-3)2+(4m+3)(4m-3)
(3)-10
2
7
×9
5
7

(4)已知x2+4x-1=0,求2x4+8x3-4x2-8x+1的值.
答案

(1)原式=9+1+(-5)

=5;

(2)原式=(4m-3)(4m-3+4m+3)

=8m(4m-3)

=32m2-24m;

(3)原式=-(10+

2
7
)(10-
2
7

=-(100-

4
49

=-99

45
49

(4)∵x2+4x-1=0,

∴2x4+8x3-4x2-8x+1

=2x2(x2+4x-1)-2(x2+4x-1)-1

=-1.

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