Distributive Property of Multiplication over Addition

Assume that $a$ , $b$ , and $c$ are real numbers, the Distributive Property of Multiplication over Addition states that $a$ multiplied by the sum of $b$ and $c$ is equal to the sum of the products of $a$ and $b$ , and $a$ and $c$ . We can express this in an equation as $a\left( {b + c} \right) = ab + ac$ .

This property can also be stated as follows: the sum of $a$ and $b$ multiplied by $c$ is equal to the sum of the products of $a$ and $c$ , and $b$ and $c$ . In equation form, we have $\left( {a + b} \right)c = ac + bc$ .

Distributive Property of Multiplication over Addition

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