Respuesta:
Forma simplificada
[tex]-3x^{5}y-2x^{4}y+3xy-3xz+3x^{2}+2y-2z+2x+4[/tex]
Explicación paso a paso:
Distribuyes
[tex](3x+2)(x+y-z)-(3x-2)-(x^{4}y-1)(3x+2)[/tex]
[tex]3x(x+y-z)+2(x+y-z)-(3x-2)-(x^{4}y-1)(3x+2)[/tex]
Distribuyes
[tex]3x(x+y-z)+2(x+y-z)-(3x-2)-(x^{4}y-1)(3x+2)[/tex]
Distribuyes
[tex]3x^{2}+3xy-3xz+2x+2y-2z-3x+2-(x^{4}y-1)(3x+2)[/tex]
[tex]3x^{2}+3xy-3xz+2x+2y-2z-3x+2-(y(3x+2).x^{4}-1(3x+2))[/tex]
vuelves a distribuir
[tex]3x^{2}+3xy-3xz+2x+2y-2z-3x+2-(3yx^{5}+2yx^{4}-1(3x+2)[/tex]
Distribuyes
[tex]3x^{2}+3xy-3xz+2x+2y-2z-3x+2-3yx^{5}+2yx^{4}+3x+2)[/tex]
sumas los números
[tex]3x^{2}+3xy-3xz+2x+2y-2z-3x+4-3yx^{5}+2yx^{4}+3[/tex]
[tex]3x^{2}+3xy-3xz+2x+2y-2z+4-3yx^{5}+2yx^{4}[/tex]
Reordenas los términos
[tex]-3yx^{5}-yx^{4}+3x^{2}+xy-3xz+2x+2y-2z+4[/tex]
Resultado
[tex]-3x^{5}y-2x^{4}y+3xy-3xz+3x^{2}+2y-2z+2x+4[/tex]
