2.  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

3.  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

4.  The property can also be used to multiply variables and coefficients  For example: 2(a + b) = 2a + 2b

5.  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.