My Math Forum I invented a new maths squaring formula

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 January 8th, 2014, 08:26 AM #1 Newbie   Joined: Jan 2014 Posts: 2 Thanks: 0 I invented a new maths squaring formula (x)2+x+x+1=(x+1)2
January 8th, 2014, 11:54 AM   #2
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Re: I invented a new maths squaring formula

Quote:
 Originally Posted by Mehul1201a (x)2+x+x+1=(x+1)2
Start showing powers like this: x^2 + x + x + 1 = (x + 1)^2

Why is that "new" ?

 January 8th, 2014, 08:44 PM #3 Newbie   Joined: Jan 2014 Posts: 2 Thanks: 0 Re: it is new Because its not either in any book nor on found on internet
January 8th, 2014, 10:19 PM   #4
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Re: it is new

Quote:
 Originally Posted by Mehul1201a Because its not either in any book nor on found on internet
Well, x + x = 2x, so x^2 + x + x + 1 is same as x^2 + 2x + 1.

That's like saying that using 5 + 5 instead of 10 is "new".

 January 10th, 2014, 05:34 PM #5 Member   Joined: Aug 2012 Posts: 40 Thanks: 3 Re: I invented a new maths squaring formula How did you arrived at this formula? Maybe that's interesting... For example, could you arrive at a formula for (x+2)² or (x-1)² using the same reasoning? And if so, how would you write the general formula (x+y)²? Also, look at other interesting formulas that involves products like that! For example: The product x*(x+1) is equal to x²+x, that can be show to be the sum of the first n even numbers: 3²+3 = 2 + 4 + 6 12 = 12 The numbers on the form x²-1 can be shown to be written as the product (x-1)(x+1). That fact alone can be used to shown that every positive number greater than two of the form x²-1 is a composite number: 63 = 64-1 = (8-1)(8+1) = 7*9 What you discovered isn't new, but it can become a nice exercice! Try to apply the basic properties of real numbers and you won't have problems solving all this...

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