Final answer:
The correct answer is b) Factored form, Distributed Form, and Simplified form are equivalent. They represent the same mathematical expressions in different ways for various applications.
Step-by-step explanation:
The statement that every expression can be shown in three forms: "factored form," "Distributed Form," and "Simplified form" is indeed correct. These forms are equivalent in that they represent the same mathematical expression or equation, but they are used for different purposes and present the information in different ways.
Factored form breaks down an algebraic expression into its simplest multipliers, which can be useful for solving equations, especially when finding roots of polynomials. Distributed Form is typically the result of applying the distributive property to an expression, expanding it out. Finally, the Simplified form is the expression with all like terms combined and simplified, making it as compact as possible.
Option b) is correct in stating that factored form, Distributed Form, and Simplified form are equivalent. Each form offers unique advantages depending on the context. Factored form is often essential in solving polynomial equations, while Distributed Form can demonstrate how different terms interact. Simplified form provides a condensed version of the expression, which is generally easier to evaluate or compare to other expressions.