Разложите ** множители : x2y+xy2-3+x+y-3xy

Question

Разложите на множители :
x2y+xy2-3+x+y-3xy

Answer 1

x²y+xy²-3+x+y+-3xy=(x²y+xy²-3xy)+(x+y-3)=
=xy*(x+y-3)+(x+y-3)=
=(x+y-3)*(xy+1)