计算(1)(-2a)3+a8÷a6×a(2)(4x-12y)(12y+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)

题目简介

计算(1)(-2a)3+a8÷a6×a(2)(4x-12y)(12y+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)

题目详情

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
题型:解答题难度:中档来源:不详

答案

(1)原式=-8a3+a2×a
=-8a3+a3
=-7a3;

(2)原式=(4x-class="stub"1
2
y)(4x+class="stub"1
2
y),
=16x2-class="stub"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)
=class="stub"3
2
x-5y
x=-2,y=class="stub"1
2

∴原式=class="stub"3
2
×(-2)-5×class="stub"1
2

=-3-2.5
=-5.5.

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