Answer:
[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]
Step-by-step explanation:
Given
[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]
Required
Simplify
[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]
We start by collecting like terms
[tex]-2x+5x-4y+3y+3xy-3xy+2yz-3x^2y[/tex]
Then simplify like terms:
[tex]3x-y+0+2yz-3x^2y[/tex]
[tex]3x-y+2yz-3x^2y[/tex]
Conclusively, when [tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex] is simplified, the result is [tex]3x-y+2yz-3x^2y[/tex]
Hence:
[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]
