Question

Please help me with this.

Answer 1

Answer:

$7x^{2} y-2xy^2+xy$

Three terms.

Two terms are positive.

Step-by-step explanation:

$8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2$

Group like terms

$=8x^{2} y-x^{2} y+3xy^2-5xy^2-2xy+3xy$

Add similar elements: $8x^{2} y-x^2y=7x^2y$

$=7x^2y+3xy^2-5xy^2-2xy+3xy$

Add similar elements: $3xy^2-5xy^2=-2xy^2$

$=7x^{2} y-2xy^2-2xy+3xy$

Add similar elements: $-2xy+3xy=xy$

$=7x^2y-2xy^2+xy$

$7x^2y$ and $-2xy^2$ and $xy$ are the three different terms.

Only $7x^2y$ and $xy$ are positive terms, thus making two positive terms.