Question

Name the property that is illustrated. (x−5)(x+3) = x2−3x−5x−15

Answer 1

The property illustrated in the expression \((x−5)(x+3) = x^2−3x−5x−15\) is the **Distributive Property**. This property states that the product of a sum or difference can be distributed across the terms within the parentheses. In this case, it shows how to expand the product of two binomials. The left-hand side is the factored form, and the right-hand side shows the result of distributing each term in the first binomial by each term in the second binomial. After simplifying, it can be combined into a standard quadratic form.