The correct option is C 3x + 4xy - 2y + 5
To subtract (3x + 4xy - 2y) from (6x + 8xy - 6y + 2y + 5),
we change the sign of every term in the expression (3x + 4xy - 2y) and then add it to (6x + 8xy - 6y + 2y + 5), following the rules of addition of two algebraic expressions.
First simplify the expression (6x + 8xy - 6y + 2y + 5) = 6x + 8xy - 4y + 5
6x + 8xy - 4y + 5
3x + 4xy - 2y + 0
(-) (-) (+) (-)
___________________
3x + 4xy - 2y + 5
Hence the difference between the two expressions is (3x + 4xy - 2y + 5).