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 start by removing the parentheses and combining like terms.

1. Write out the expression without parentheses:
\[
3xy - 2xz + yz + 2xy - 4xz - 5yz
\]

2. Now, group the like terms:
- The \(xy\) terms: \(3xy + 2xy\)
- The \(xz\) terms: \(-2xz - 4xz\)
- The \(yz\) terms: \(yz - 5yz\)

3. Combine each group:
- For \(xy\):
\[
3xy + 2xy = 5xy
\]
- For \(xz\):
\[
-2xz - 4xz = -6xz
\]
- For \(yz\):
\[
yz - 5yz = -4yz
\]

4. Now, put it all together:
\[
5xy - 6xz - 4yz
\]

Thus, the expression equivalent to \((3xy - 2xz + yz) + (2xy - 4xz - 5yz)\) is
\[
\boxed{5xy - 6xz - 4yz}
\]