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Ann0310
@Ann0310
July 2022
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х(y²-z²) +y(z²-x²) +z(x²-y²) Разложить на множители
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victory0var
X(y2 - z2) + y(z2 - x2) + z(x2 - y2) = xy2 - xz2 + yz2 - x2y + x2z - y2z = xy2 - xz2 + yz2 - x2y + x2z - y2z + xyz - xyz = xyz - x2y - y2z + xy2 - xz2 + x2z + yz2 - xyz = y(xz - x2 - yz + xy) - z(xz - x2 - yz + xy) = (xz - x2 - yz + xy)(y - z) = (x(z - x) - y(z - x))(y - z) = (z - x)(x - y)(y - z).
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