Faktoriserade

Faktoriserade is a term used in mathematics to describe a number or expression that has been broken down into its constituent factors. A factor is a number or algebraic expression that divides another number or expression evenly, meaning there is no remainder. The process of factorization involves finding these factors. For example, the number 12 can be factorised into its prime factors as 2 x 2 x 3. Each of these numbers (2 and 3) is a prime number, meaning it can only be divided evenly by 1 and itself.

In algebra, factorization is equally important. An algebraic expression can be factorised into simpler expressions that, when multiplied together, yield the original expression. For instance, the expression x^2 - 4 can be factorised into (x - 2)(x + 2). This is a common application of the difference of squares formula. Factorisation is a fundamental tool in solving equations, simplifying complex expressions, and understanding the structure of mathematical objects. Different methods exist for factorization, depending on the type of number or expression being factorised, including prime factorization, common factor extraction, and grouping. The goal is always to represent the original entity as a product of its simplest components.