# distributive property to simplify the expression

apply distributive property

• Use the distributive property to simplify the expression below:

The quantity of negative 4 times x plus 8
all divided by negative 4

### Comments for distributive property to simplify the expression

 Sep 08, 2012 distributive property to simplify expression by: Staff Answer: The Distributive Property combines the following two operations in mathematics: multiplication and addition . It is formally defined as "the distribution of multiplication over addition". It is used to simplify an expression containing parentheses to an expression without parentheses. The quantity of negative 4 times x plus 8 all divided by negative 4 {(-4)*x + 8}/(-4) = (-4x + 8) / (-4) Using the distributive process means you will multiply (-4x + 8) by the fraction [1 / (-4)] = (-4x + 8) * [1 / (-4)] To make the process a little easier to follow, I have factored out the -1. = (-4x + 8) * (-1) * (1 / 4) We are going to use the distributive property twice. First, multiply (-4x + 8) by (-1) = [(-4x + 8) * (-1)] * (1 / 4) = [(-4x) * (-1) + (8) * (-1)] * (1 / 4) = (4x - 8) * (1 / 4) Second, multiply (4x - 8) by (1 / 4) = (4x - 8) * (1 / 4) = 4x * (1 / 4) - 8 * (1 / 4) = x * (4 / 4) - (8 / 4) = x * (1) - (2) = x - 2 Final Answer: x - 2 Thanks for writing. Staff www.solving-math-problems.com

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