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November 13th, 2013, 11:26 AM   #1
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Help!! A.s.a.p. I'm really confused!

I'm doing my maths homework and I don't understand this question! I don't know how to do the small 3 or 2, the ones that are powers like 3 to the power of 2 is 3x3=9. So when I write to the power of, you will know what I mean hopefully.

For any even number n, prove that the product of it and the next two consecutive even numbers will be n to the power of 3 + 6n to the power or 2 + 8n

That is the question in my maths textbook and I can't find anything anywhere to help me! If someone could please give me the answer and explain how they got it, that would be brilliant! Please+Thank-you!!!
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November 13th, 2013, 11:54 AM   #2
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Re: Help!! A.s.a.p. I'm really confused!

Do you mean: show that:

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November 13th, 2013, 01:38 PM   #3
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n(n + 2)(n + 4) = n(n(n + 4) + 2(n + 4)) = n(n + 4n + 2n + 8) = n + 6n + 8n
(Pero omitted the final n.)
The equation holds for any value of n; n needn't be an even number and needn't be an integer. The need for n to be an even integer is caused purely by the wording "next two consecutive even numbers" used in the description of the equation.
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