Answer:
[tex]7x^{2} y-2xy^2+xy[/tex]
Three terms.
Two terms are positive.
Step-by-step explanation:
[tex]8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2[/tex]
Group like terms
[tex]=8x^{2} y-x^{2} y+3xy^2-5xy^2-2xy+3xy[/tex]
Add similar elements: [tex]8x^{2} y-x^2y=7x^2y[/tex]
[tex]=7x^2y+3xy^2-5xy^2-2xy+3xy[/tex]
Add similar elements: [tex]3xy^2-5xy^2=-2xy^2[/tex]
[tex]=7x^{2} y-2xy^2-2xy+3xy[/tex]
Add similar elements: [tex]-2xy+3xy=xy[/tex]
[tex]=7x^2y-2xy^2+xy[/tex]
[tex]7x^2y[/tex] and [tex]-2xy^2[/tex] and [tex]xy[/tex] are the three different terms.
Only [tex]7x^2y[/tex] and [tex]xy[/tex] are positive terms, thus making two positive terms.
