解乘法公式计算1·(x+y+2z)(x-y-2z)2·(x+2y-z)^2
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解乘法公式计算
1·(x+y+2z)(x-y-2z)2·(x+2y-z)^2
1·(x+y+2z)(x-y-2z)2·(x+2y-z)^2
1.
=(x+(y+2z)) (x-(y+2z))
=x^2-(y+2z)^2
=x^2-y^2-4yz-4z^2
2.
=x^2+2x(2y-z)+(2y-z)^2
=x^2+4xy-2xz+4y^2-4yz+z^2
=x^2+4y^2+z^2+4xy-2xz-4yz
=(x+(y+2z)) (x-(y+2z))
=x^2-(y+2z)^2
=x^2-y^2-4yz-4z^2
2.
=x^2+2x(2y-z)+(2y-z)^2
=x^2+4xy-2xz+4y^2-4yz+z^2
=x^2+4y^2+z^2+4xy-2xz-4yz
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