化简:(1)(2x-y+z-2c+m)(m+y-2x-2c-z);(2)(a+3b)(a2-3ab+9b2)-(a-3b)(a2+3ab+9b2);(3)(x+

化简:(1)(2x-y+z-2c+m)(m+y-2x-2c-z);(2)(a+3b)(a2-3ab+9b2)-(a-3b)(a2+3ab+9b2);(3)(x+

题型:解答题难度:一般来源:不详
化简:
(1)(2x-y+z-2c+m)(m+y-2x-2c-z);
(2)(a+3b)(a2-3ab+9b2)-(a-3b)(a2+3ab+9b2);
(3)(x+y)2(y+z-x)(z+x-y)+(x-y)2(x+y+z)(x+y-z).
答案
(1)(2x-y+z-2c+m)(m+y-2x-2c-z),
=[(m-2c)+(2x-y+z)]•[(m-2c)-(2x-y+z)],
=(m-2c)2-(2x-y+z)2
=m2-4cm+4c2-(4x2+y2+z2-4xy+4xz-2yz),
=m2-4cm+4c2-4x2-y2-z2+4xy-4xz+2yz;

(2)(a+3b)(a2-3ab+9b2)-(a-3b)(a2+3ab+9b2),
=(a3+27b3)-(a3-27b3),
=54b3

(3)(x+y)2(y+z-x)(z+x-y)+(x-y)2(x+y+z)(x+y-z),
=(x+y)2[z-(x-y)][z+(x-y)]+(x-y)2[(x+y)+z]×[(x+y)-z],
=(x+y)2[z2-(x-y)2]+(x-y)2[(x+y)2-z2],
=(x+y)2z2-(x-y)2z2
=4xyz2
举一反三
若ab2=-6,则-ab(a2b5-ab3-b)的值为______.
题型:填空题难度:一般| 查看答案
计算:
(1)(a-2b+c)(a+2b-c)-(a+2b+c)2
(2)(x+y)4(x-y)4
(3)(a+b+c)(a2+b2+c2-ab-ac-bc).
题型:解答题难度:一般| 查看答案
已知z2=x2+y2,化简(x+y+z)(x-y+z)(-x+y+z)(x+y-z).
题型:解答题难度:一般| 查看答案
(1)-3x2y2•(-2xy)2
(2)(a-2b)2+(a+2b)(a-2b)
题型:解答题难度:一般| 查看答案
计算:x2•(-3xy)2•(-5b2
题型:解答题难度:一般| 查看答案
最新试题
热门考点

超级试练试题库

© 2017-2019 超级试练试题库,All Rights Reserved.