Question

x² + xy + y² por x-y
ayuda porfavor

Answer 1

Respuesta:

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

Explicación paso a paso:

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

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

$x^{2+1}-x^{2}y+x^{1+1}y+xy^{1+1}+xy^{2}-y^{2+1}$

$x^{3}-x^{2}y+x^{2}y+xy^{2}+xy^{2}-y^{3}$

reducimos términos semejantes:

$x^{3}+(-1+1)x^{2}y+(1-1)xy^{2}-y^{3}$

$x^{3}+0x^{2}y+0xy^{2}-y^{3}$

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