(1).(2).(3).(4)[(x+2y)2-(x+y)(3x-y)-5y2]÷2x.(5)(2x-y+1)(2x+y-1)(6)(x-y)2(x2+y2)2(x+

发布时间:2020-08-06 19:12:38

(1).
(2).
(3).
(4)[(x+2y)2-(x+y)(3x-y)-5y2]÷2x.
(5)(2x-y+1)(2x+y-1)
(6)(x-y)2(x2+y2)2(x+y)2.
(7)(2x)3?(-2y3)÷(16xy2)
(8)(-2x+y)2-(2x-y)(-y-2x)+(x-2y)(y-2x)
(9)[(-2x2y)2?xy2-6x3?(xy2)3]÷(-2x4y4)

网友回答

解:(1)原式=-32+16+1
=-15;
(2)原式=
=
=-24b2c5;
(3)原式=-1+4+1
=4;
(4)原式=[x2+4xy+4y2-(3x2-xy+3xy-y2)-5y2]÷2x
=[x2+4xy+4y2-3x2-2xy+y2-5y2]÷2x
=[-2x2+2xy]÷2x
=-x+y;
(5)原式=4x2-(y-1)2
=4x2-(y2-2y+1)
=4x2-y2+2y-1;
(6)原式=[(x-y)(x2+y2)(x+y)]2
=[(x2-y2)(x2+y2)]2
=[x4-y4]2
=x8-2x4y4+y8;
(7)原式=8x3?(-2y3)÷(16xy2)
=-x2y;
(8)原式=(y-2x)2-(y-2x)(y+2x)+(x-2y)(y-2x)
=(y-2x)(y-2x-y-2x+x-2y)
=(y-2x)(-2y-3x)
=-2y2-3xy+2xy+6x2
=-2y2-xy+6x2;
(9)原式=[4x4y2?xy2-6x3?x3y6]÷(-2x4y4)
=[4x5y4-6x6y6]÷(-2x4y4)
=-2x+3x2y2.
解析分析:(1)第(1)、(3)题属于有理数的计算题,涉及到了零指数和负整数指数的几个考点;
(2)其余的7道题属于整式的混合运算题考到了整式的加减乘除乘方.计算时要求学生注意运算顺序.

点评:本题考查了有理数运算和整式的混合运算,涉及到了零指数和负整数指数及平方差公式,完全平方公式等多个考点,多属于一般的计算题,要求学生按照顺序计算就可以.
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