Question

2.

Answer 1

For this case we have the following expression:

$(xy-3y ^ 2 + 5xy ^ 2) - (- xy + 3xy ^ 2-3y ^ 2) =$

We apply distributive property considering that:

$- * + = -\\- * - = +$

Rewriting the expression we have:

$(xy-3y ^ 2 + 5xy ^ 2) + xy-3xy ^ 2 + 3y ^ 2 =\\xy-3y ^ 2 + 5xy ^ 2 + xy-3xy ^ 2 + 3y ^ 2 =$

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

$xy + xy-3y ^ 2 + 3y ^ 2 + 5xy ^ 2-3xy ^ 2 =\\2xy + 2xy ^ 2$

Answer:

$2xy + 2xy ^ 2$