The special products can be used to perform selected multiplications. On the left, we use (x+y)(x-y) = x^2-y^2. On the right, (x-y)^2 = x^2-2xy+y^2. Use special products to evaluate each expression. 102^2

Special products refer to specific algebraic identities that simplify the multiplication of binomials. Common examples include the difference of squares, (a+b)(a-b) = a^2 - b^2, and the square of a binomial, (a+b)^2 = a^2 + 2ab + b^2. Understanding these identities allows for quicker calculations and simplifications in algebra.

The difference of squares is a specific case of special products where the expression takes the form (a+b)(a-b). This identity states that the product equals the square of the first term minus the square of the second term, expressed as a^2 - b^2. It is particularly useful for factoring and simplifying expressions involving squared terms.

The square of a binomial is another important identity that states (a+b)^2 = a^2 + 2ab + b^2. This formula expands the square of a sum into three terms, which is essential for simplifying expressions and solving equations involving squared binomials. Mastery of this concept is crucial for evaluating expressions like 102^2 efficiently.