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)12a2bc3-(-2a2b2c)2(

题目简介

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)12a2bc3-(-2a2b2c)2(

题目详情

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
题型:解答题难度:中档来源:不详

答案

(1)(-2xy3z2)4
=(-2)4•x4•(y3)4•(z2)4
=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)class="stub"1
2
a2bc3•(-2a2b2c)2
=class="stub"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.

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