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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

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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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