distribution laws

Distribution laws describe how multiplication interacts with addition and subtraction. The key idea is that multiplying a number by a sum or difference can be "distributed" across each term inside the parentheses. For example, \(a \times (b + c)\) equals \(a \times b + a \times c\). Similarly, \(a \times (b - c) = a \times b - a \times c\). These laws help simplify expressions and solve equations efficiently by breaking down complicated operations into manageable parts, maintaining the consistency of algebraic rules.