Which expression is equivalent to 3xy − 2xz + yz + 2xy ​− 4xz − 5yz?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

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

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, we put all the combined terms together:
\[
5xy - 6xz - 4yz
\]

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