The distributive property is the rule that relates addition and multiplication. Specifically, it states that \( a (b+c) = ab + ac \).
For example: \( 36 = 3 \times (12) = 3 \times (10+2) = 3\times 10 + 3\times 2 = 30 + 6 = 36 \).
The distributive rule can also be applied to polynomials:
\[ (a+b)(c+d) = (a+b)c + (a+b)d = ac+bc+ad+bd. \]