Question

¿Como la puedo simplificar? ✨​

Answer 1

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

Answer 2

Respuesta:

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

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

$2x^{2} y-2yx^{2} -2y^{3}$

$-2y^{3}$

Explicación paso a paso: