Question

Simplify the like terms

-2x\:+\:3y\:-\:3xy\:+2yz\:-\:3x^2y\:+5x\:-\:4y+3xy

Answer 1

`-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y`

Explanation:

Given

`-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy`

Required

Simplify

`-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy`

We start by collecting like terms

`-2x+5x-4y+3y+3xy-3xy+2yz-3x^2y`

Then simplify like terms:

`3x-y+0+2yz-3x^2y`

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

Conclusively, when
`-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy` is simplified, the result is
`3x-y+2yz-3x^2y`

Hence:

`-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y`