Hello again! in this new blog I will explain you more in depth the 4 cases of factorization. 1. common factor. Factoring by common factors is a technique used to simplify algebraic expressions. It involves identifying common factors in the terms of an expression and factoring them out. The goal of factoring by common factors is to make an expression simpler and easier to work with. To factor by common factors, we first identify the common factor in each term of an expression. The common factor is usually the highest common factor (HCF) of the coefficients and variables in the terms. For example, in the expression 6x^2 + 12x, the common factor is 6x. We can factor out this common factor by dividing each term by 6x, which gives us 6x(x + 2). Factoring by common factors can be used to simplify expressions and solve equations. It is especially useful in situations where we need to find a common factor in a set of terms. For example, when adding or subtracting fractio...