计算:(1)-3(x2-xy)-x(-2y+2x)(2)(-x5)?x3n-1+x3n?(-x)4(3)(x+2)(y+3)-(x+1)(y-2)(4)(-2m2n)

发布时间:2020-08-07 07:10:30

计算:(1)-3(x2-xy)-x(-2y+2x)
(2)(-x5)?x3n-1+x3n?(-x)4
(3)(x+2)(y+3)-(x+1)(y-2)
(4)(-2m2n)3?mn+(-7m7n12)0-2(mn)-4?m11?n8
(5)(5x2y3-4x3y2+6x)÷6x,其中x=-2,y=2
(6)(3mn+1)(3mn-1)-(3mn-2)2
(7)(3a2b)3?(-2ab4)2÷(6a5b3)

网友回答

解:(1)原式=-3x2+3xy+2xy+2x2
=5xy-x2;
(2)原式=-x5+3n-1+x3n+4,
=-x3n+4+x3n+4,
=0;
(3)原式=xy+3x+2y-6-xy+2x-y+2
=5x+y-4;
(4)原式=-8m6n3?mn+1-2m-4n-4?m11?n8
=-8m7n4-2m7n4+1
=-10m7n4+1;
(5)原式=5x2y3÷6x-4x3y2÷6x+6x÷6x,
=xy3-x2y2+1;
∵x=-2,y=2
∴原式=×2×8-×4×4+1;
=-+1
=;
(6)原式=(3mn)2-1-(3mn-2)2
=(3nm+3mn-2)(3mn-3mn+2)-1
=2(6mn-2)-1
=12mn-5;
(7)原式=27a6b3?4a2b8÷6a5b3
=a8-5b3+8-3
=18a3b8.
解析分析:(1)先去括号,再合并同类项即可;
(2)先根据同底数幂的乘法进行计算,再合并同类项即可;
(3)先去括号,再合并同类项即可;
(4)先根据积的乘方、同底数幂的乘法进行计算,再合并同类项即可;
(5)先进行多项式的除法,再代入x,y的值进行计算即可.
(6)先去括号,再合并同类项即可;
(7)先根据积的乘方、同底数幂的乘法、幂的乘方进行计算,再进行单项式的乘除法运算即可.

点评:本题考查了整式的混合运算,考查的知识点有:同底数幂的乘法、幂的乘方、积的乘方以及同底数幂的除法、合并同类项等.
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