计算:(1)(x+y)(x-y)+(y-z)(y+z)+(z-x)(z+x);(2)(3m2+5)(-3m2+5)-m2(7m+8)(7m-8)-(8m)2.

发布时间:2020-08-10 06:41:11

计算:
(1)(x+y)(x-y)+(y-z)(y+z)+(z-x)(z+x);
(2)(3m2+5)(-3m2+5)-m2(7m+8)(7m-8)-(8m)2.

网友回答

解:(1)原式=(x2-y2)+(y2-z2)+(z2-x2)=0

(2)原式=-(3m2+5)(3m2-5)-m2(7m+8)(7m-8)-(8m)2,
=-(9m4-25)-m2(49m2-64)-64m2,
=25-58m4.
解析分析:(1)先根据平方差公式,化简后再求和可得
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