Question

What is the distributive property?

Answer 1

Distributive property.

The Distributive Property is an algebraic property which states that when a factor is multiplied by the sum or difference of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition or subtraction operation.

Mathematically it is represented as:

$$\begin{gathered} a\left(b+c\right)=ab+ac \\ a\left(b-c\right)=ab-ac \end{gathered}$$ , for any integers $a,b$ and $c$.

Thus, distributive Property is an algebraic property which states that when a factor is multiplied by the sum or difference of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition or subtraction operation.