Question

Which expression is equivalent to (3xy - 2xz + yz)\ + (2xy - 4xz - 5yz)?

Answer 1

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

1. Start by writing it out clearly:
\[
(3xy - 2xz + yz) + (2xy - 4xz - 5yz)
\]

2. Remove the parentheses:
\[
3xy - 2xz + yz + 2xy - 4xz - 5yz
\]

3. Now combine the like terms:
- For the \(xy\) terms: \(3xy + 2xy = 5xy\)
- For the \(xz\) terms: \(-2xz - 4xz = -6xz\)
- For the \(yz\) terms: \(yz - 5yz = -4yz\)

4. Putting it all together, we have:
\[
5xy - 6xz - 4yz
\]

Hence, the expression equivalent to \((3xy - 2xz + yz) + (2xy - 4xz - 5yz)\) is:
\[
5xy - 6xz - 4yz
\]