Question

Разложить на множители
1)x^2y-x+xy^2-y
2)am^2-an-bm^2+cn-cm^2+bn

Answer 1

$x^2y-x+xy^2-y=(x^2y+xy^2)-(x+y)=\\=xy(x+y)-(x+y)=(x+y)(xy-1)\\\\am^2-an-bm^2+cn-cm^2+bn=\\=(am^2-bm^2-cm^2)-(an-bn-cn)=\\=m^2(a-b-c)-n(a-b-c)=\\=(a-b-c)(m^2-n)$