Which expression is equivalent to `\left(3xy\ +\ 2xz\ +\ yz\right)\ +\ \left(2xy\ -\ 4xz\ +\ 5yz\right)?`
5xy-6xz-4yz
5xy-2xz-6yz
5xy-2xz-4yz
5xy-6xz-6yz
To simplify the expression, combine like terms by adding or subtracting their coefficients:
(3xy + 2xz + yz) + (2xy - 4xz + 5yz)
= 3xy + 2xy + 2xz - 4xz + yz + 5yz
= (3xy + 2xy) + (2xz - 4xz) + (yz + 5yz)
= 5xy - 2xz + 6yz
Therefore, the correct expression is 5xy - 2xz + 6yz.