Разложите многочлен на множители. [tex]y^{2}-x^{2}-y^{3}+x^{3}[/tex]. Created by gayg05. matematika-ru

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September 2021 1 6 Report

Разложите многочлен на множители. [tex]y^{2}-x^{2}-y^{3}+x^{3}[/tex]

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Ayanakoji

Ответ:

${y}^{2} - {x}^{2} - {y}^{3} + {x}^{3} = (y - x)(y + x) - ( {y}^{3} - {x}^{3} ) = (y - x)(y + x) -(y - x)( {y}^{2} + xy + {x}^{2} ) = (y - x)(y + x - {y}^{2} - xy - {x}^{2} )$

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