Question

2.

(x}y - 3y2 + 5xy2)-(-x’y+ 3xy2 - 3y?)
Which of the following is equivalent to the
expression above?
A) 2xy + 2xy2
B) 8x2 - 6y?
C) 2xy +8x72 - 6y2
D) x+y+9xy* - 15xy?

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`