问题 解答题
计算
(1)(-2a)3+a8÷a6×a
(2)(4x-
1
2
y)(
1
2
y+4x)
(3)(x+3)2-(x-3)(x+3)
(4)(x+y-1)2
(5)化简求值:[(x-3y)(3x-y)-3y2]÷(2x),其中x=-2,y=
1
2
答案

(1)原式=-8a3+a2×a

=-8a3+a3

=-7a3

(2)原式=(4x-

1
2
y)(4x+
1
2
y),

=16x2-

1
4
y2

(3)原式=x2+6x+9-x2+9

=6x+18;

(4)原式=[(x+y)-1]2

=(x+y)2-2(x+y)+1

=x2+2xy+y2-2x-2y+1;

(5)原式=[3x2-xy-9xy+3y2-3y2]÷(2x)

=[3x2-10xy]÷(2x)

=

3
2
x-5y

x=-2,y=

1
2

∴原式=

3
2
×(-2)-5×
1
2

=-3-2.5

=-5.5.

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