Question

Simplify the like terms-2x\:+\:3y\:-\:3xy\:+2yz\:-\:3x^2y\:+5x\:-\:4y+3xy

Answer 1

Answer:

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

Step-by-step 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:

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