化简:(1)(2x-y+z-2c+m)(m+y-2x-2c--查字典问答网
分类选择

来自梁永东的问题

  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).

  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).

1回答
2020-03-31 00:43
我要回答
请先登录
李清权

  (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.

2020-03-31 00:44:53

最新问答

推荐文章

猜你喜欢

附近的人在看

推荐阅读

拓展阅读

  • 大家都在看
  • 小编推荐
  • 猜你喜欢
  •