Question

How do you find the sum or difference of `(x^2y-3x^2+y)+(3y-2x^2y)`?

Answer 1

`-3x^2 -x^2y+4y`

Explanation:

In this expression the brackets are not necessary because it is an addition.

`color(blue)(x^2y) color(red)(" "- 3x^2) color(green)(" "+y +3y) color(blue)(" "-2x^2y)" "larr` identify the like terms

`=color(red)(-3x^2) color(blue)(" "+x^2y -2x^2y) color(green)(" "+y+3y)" "larr` re-arrange

`=color(red)(-3x^2)" " color(blue)(-x^2y) color(green)(" "+4y)" "larr` simplify the like terms