Algebra: Expansion and Factorization
Welcome Back to My Blog! Today, we're diving into the fascinating world of algebra. Get ready as we embark on this exciting adventure together! The Importance of Algebra Algebra is essential in various fields of mathematics. It involves manipulating equations and solving problems with unknown variables. In this chapter, we’ll focus on expanding expressions involving brackets and the reverse process called factorization. In expansion,we remove brackets but in factorization,we introduce them. The Distributive Law Consider the expression a(b+c). Here, a is the coefficient of the expression in the brackets,(b+c) . The distributive law says that to simplify a(b+c), we must multiply the coefficient with each term inside the brackets and add the results: a(b+c) = ab + ac Example 1: 1. 2(5x-1)=2(5x)+(2×(-1)) =10x-2 2. 2x(3-x)=(2x × 3)+(2x ×(-x)) =6x-2x² 3. -5x(x-3) =(-5x × x)+(-5x ×(-3)) = -5x² + 15x Example...