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          化簡(jiǎn): (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

          化簡(jiǎn):
          (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).
          數(shù)學(xué)人氣:277 ℃時(shí)間:2019-08-19 23:55:59
          優(yōu)質(zhì)解答
          (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)(a2-3ab+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
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