Which expression is equivalent to (3xy + 2xz + yz) + ( 2xy - 4xz + 5yz )? show your work
Using the distributive property, we can combine like terms:
(3xy + 2xz + yz) + (2xy - 4xz + 5yz)
= 3xy + 2xz + yz + 2xy - 4xz + 5yz
Combining like terms, we have:
= (3xy + 2xy) + (2xz - 4xz) + (yz + 5yz)
= 5xy - 2xz + 6yz
Therefore, the expression (3xy + 2xz + yz) + (2xy - 4xz + 5yz) is equivalent to 5xy - 2xz + 6yz.