Help with distributive property

Mathematics
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Use the Distributive Property to simply 6x²((3x-4)+(4x+2))

Aug 31st, 2015

Hi there! Thank you for the opportunity to help you with your question!

For solving this problem, we first need to simplify the quantities inside the parentheses. That is:

6x²((3x-4)+(4x+2))

=6x²(7x-2)   [where we combined the like terms 3x+4x = 7x, and -4 + 2 =-2

Now we use the distributive property. The distributive property says that when you are multiplying an expression of the form a*(b + c), that you "distribute" the outside term a into both terms inside parentheses, that is a*b + a*c. In this case, the expression becomes:

=6x² * 7x + 6x² *(-2) = 42x^3-12x²

Please let me know if you need any clarification. Always glad to help!
Aug 31st, 2015

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Aug 31st, 2015
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Aug 31st, 2015
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