The Distributive Property Revisited

The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products

The Distributive Property is represented by the expression: a(b+c) = a x b + a x c

In other words, 12 x (3 + 4) = 12 X 3 + 12 x 4

Both sides of the equation evaluate to 84

12 x (3 + 4) = 12 x 3 + 12 x 4 =

12 x (7) = 36 + 48 = 84 84

The property can also be used to multiply variables and coefficients

For example:2(a + b) = 2a + 2b

Using the Distributive Property to Simplify Expressions

To use the Distributive Property to Simplify an expression, multiply the number outside the parentheses by all of the terms inside the parentheses

If there is a negative, a minus sign, or a negative number outside of the parentheses, then all of the terms must be multiplied by the negative as well.

After using the Distributive Property, be sure to combine any like terms that remain.