a,b,c is the reals numbers,Prove this equality :

http://www.mathramz.com/xyz/latexren...a37b4f1efb.png

Deduct all resolutions of this equation in R :

http://www.mathramz.com/xyz/latexren...a052638b1a.png (Angry)

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- Jun 21st 2009, 10:33 AMdhiabDemonstration and deduction
**a,b,c is the reals numbers****,****Prove this equality :**

http://www.mathramz.com/xyz/latexren...a37b4f1efb.png

**Deduct all resolutions of this equation in R :**

http://www.mathramz.com/xyz/latexren...a052638b1a.png (Angry) - Jun 21st 2009, 11:51 AMrunning-gag
- Jun 21st 2009, 12:04 PMHallsofIvy
[QUOTE=dhiab;332083]

**a,b,c is the reals numbers****,****Prove this equality :**

http://www.mathramz.com/xyz/latexren...a37b4f1efb.png

Looks to me like the best thing to do is just go ahead and multiply out the right side:

so

Now multiply that by a+ b+ c:

[tex]c(2a^2+ 2b^2+ 2c^2- 2(ab+ac+ bc))= 2a^2c+ 2b^2c+ 2c^3- 2(abc+ ac^2+ bc^2)

Now note that the " " term in the first equation is canceled by the " " term in the second equation, etc.

Quote:

**Deduct all resolutions of this equation in R :**

http://www.mathramz.com/xyz/latexren...a052638b1a.png (Angry)

- Jun 21st 2009, 01:10 PMdhiab
HELLO :

**equality is correct**: LOOCK THIS RESOLUTION

http://www.mathramz.com/xyz/latexren...d65f970cd3.png

http://www.mathramz.com/xyz/latexren...b1fe9cb9b1.png

http://www.mathramz.com/xyz/latexren...038636afae.png

http://www.mathramz.com/xyz/latexren...0ed5365b2c.png

Deduct :

http://www.mathramz.com/xyz/latexren...2dabfc1aca.png

http://www.mathramz.com/xyz/latexren...4bea6d511f.png

__Conclusion :__

http://www.mathramz.com/xyz/latexren...5cfe7b76f5.png - Jun 22nd 2009, 11:56 AMrunning-gag