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
问题描述:
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
(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-...