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X+Y+Z=0,问X的三次方+Y的三次方+Z的三次方=?(已知答案为3XYZ)要解题步骤
人气:340 ℃ 时间:2019-12-14 00:38:52
解答
X的三次方+Y的三次方+Z的三次方=(x+y)(x2-xy+y2)+Z的三次方=-z(x2-xy+y2)+Z的三次方(x+y=-z)=-z(x2-xy+y2-z2)=-z[x(x-y)+(y+z)(y-z)]=-z[x(x-y)-x(y-z)] (y+z=-x)=-z[x(x-y-y+z)]=-zx(x+z-2y)=-zx(-y-2y...
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