(a+b) ×(c-d)

To solve the expression (a+b) × (c-d), you can use the distributive property of multiplication over addition/subtraction. This property states that the product of a term and a sum/difference is equal to the sum/difference of the products of each term.

So, in this case, you can distribute (a+b) to both terms in the parentheses:

(a+b) × (c-d) = a × (c-d) + b × (c-d)

To simplify further, you can use the distributive property again to multiply each term inside the parentheses:

= a × c - a × d + b × c - b × d

The final simplified expression is:

= ac - ad + bc - bd