(3xy-2xz+yz)+(2xy-4xz-5yz)

1 answer

To simplify the expression \((3xy - 2xz + yz) + (2xy - 4xz - 5yz)\), you can combine like terms.

Here are the steps:

  1. Combine the \(xy\) terms: \[ 3xy + 2xy = 5xy \]

  2. Combine the \(xz\) terms: \[ -2xz - 4xz = -6xz \]

  3. Combine the \(yz\) terms: \[ yz - 5yz = -4yz \]

Now, putting all the combined terms together, you have: \[ 5xy - 6xz - 4yz \]

So, the simplified expression is: \[ \boxed{5xy - 6xz - 4yz} \]