(a+b)(c-d)

To simplify the expression (a+b)(c-d), you can use the distributive property of multiplication over addition.

First, distribute a to both terms inside the second parentheses:

(a+b)(c-d) = (a)(c-d) + (b)(c-d)

Next, multiply a by each term inside the second parentheses and b by each term inside the second parentheses separately:

= ac - ad + bc - bd

Finally, combine like terms if possible:

= ac + bc - ad - bd

Therefore, the simplified expression is ac + bc - ad - bd.