5. Simplify 4xy(3x+6-2y) 12x^2y+24xy-8xy^2 12xy+24xy-8xy^2 12x^2y+10xy+2xy^2 12x^2y+6-2y

To simplify the expression $$4xy(3x+6-2y)$$ , we need to distribute the $$4xy$$ term to each term inside the parentheses.

Step 1: Distribute $$4xy$$ to $$3x$$ :
$$4xy \cdot 3x = 12x^2y$$

Step 2: Distribute $$4xy$$ to $$6$$ :
$$4xy \cdot 6 = 24xy$$

Step 3: Distribute $$4xy$$ to $$-2y$$ :
$$4xy \cdot (-2y) = -8xy^2$$

Putting it all together, we have:
$$4xy(3x+6-2y) = 12x^2y + 24xy - 8xy^2$$

Therefore, the simplified expression is $$12x^2y + 24xy - 8xy^2$$ .