计算下列各题.(1)(-2xy3z2)4(2)(xy+4)(xy-4)(3)(2x-3)(x-1)(4)(54x2y-108xy2-36xy)÷(18xy)(5

计算下列各题.(1)(-2xy3z2)4(2)(xy+4)(xy-4)(3)(2x-3)(x-1)(4)(54x2y-108xy2-36xy)÷(18xy)(5

题型:解答题难度:一般来源:不详
计算下列各题.
(1)(-2xy3z24
(2)(xy+4)(xy-4)
(3)(2x-3)(x-1)
(4)(54x2y-108xy2-36xy)÷(18xy)
(5)
1
2
a2bc3-(-2a2b2c)2

(6)(x+y)2-(x-y)2
答案
(1)(-2xy3z24
=(-2)4•x4•(y34•(z24
=16x4y12z8
(2)(xy+4)(xy-4)
=(xy)2-42
=x2y2-16;
(3)(2x-3)(x-1)
=2x2-2x-3x+3
=2x2-5x+3;
(4)(54x2y-108xy2-36xy)÷(18xy)
=54x2y÷18xy-108xy2÷18xy-36xy÷18xy
=3x-6y-2;
(5)
1
2
a2bc3•(-2a2b2c)2
=
1
2
a2bc3•4a4b4c2
=2a6b5c5
(6)(x+y)2-(x-y)2
=[(x+y)+(x-y)][(x+y)-(x-y)]
=(x+y+x-y)(x+y-x+y)
=2x•2y
=4xy.
举一反三
计算
(1)(
1
4
0×4-2                  
(2)(-2a)3-(-a)(3a)2
(3)(m-n)2-(n-m)3-(n-m)4         
(4)(b2n3(b34n÷(b5n+1
题型:解答题难度:一般| 查看答案
计算题
(1)
1
2
a2bc3-(-2a2b2c)2

(2)(54x2y-108xy2-36xy)÷18xy
(3)(2x+3y)(2x-3y)-(2x+3y)2
(4)20052-2006×2004
题型:解答题难度:一般| 查看答案
计算:
(1)(-3x2y3z)3÷9x3y5÷x3-(-3x2y)2
(2)化简求值:(x-2)(x2-6x-9)-x(x-3)(x-5),其中x=
1
3
题型:解答题难度:一般| 查看答案
计算
(1)-12-8-1×(-1)-2×(
1
2
)-3×70

(2)(3a2b+7ab2)-2(-5ab2+6a2b)
(3)(2x-y)(2x+y)-(x-3y)2
(4)(
1
4
a2b)•(-2ab2)2÷(-0.5a4b5)
题型:解答题难度:一般| 查看答案
下列计算:
①5a3-a3=2a6②m2+m3=2m5③(-2a22=-4a4④x8÷x4=x2⑤a2-(a10÷a4)=a8
⑥(a-b)2÷(b-a)2=1   ⑦
m2+a2
n2+a2
=
m
n
,其中正确的个数为(  )
A.4个B.3个C.2个D.1个
题型:单选题难度:一般| 查看答案
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