Factor out the greatest common factor from each polynomial. See Example 1. (4z-5)(3z-2)-(3z-9)(3z-2)

The Greatest Common Factor is the largest integer or algebraic expression that divides two or more terms without leaving a remainder. To find the GCF, identify the common factors of the coefficients and the variables in each term. This concept is essential for simplifying polynomials and making calculations easier.

Factoring polynomials involves rewriting a polynomial as a product of its factors, which can be numbers, variables, or other polynomials. This process is crucial for simplifying expressions and solving equations. Understanding how to factor polynomials allows for easier manipulation and analysis of algebraic expressions.

The Distributive Property states that a(b + c) = ab + ac, allowing for the multiplication of a single term across a sum or difference. This property is fundamental in algebra for expanding expressions and is often used in conjunction with factoring to simplify polynomials. Mastery of this concept aids in understanding how to combine like terms and rearrange expressions.