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Old 21 ¡Ã¡®Ò¤Á 2010, 18:47
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Question ᡵÑÇ»ÃСͺ

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$(a+b)^3-8b^3$

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21 ¡Ã¡®Ò¤Á 2010 18:49 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ flossy
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Old 21 ¡Ã¡®Ò¤Á 2010, 19:17
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¼ÅµèÒ§¡ÓÅѧ 3 ¹Ñè¹àͧ

$ A^3-B^3=(A-B)(A^2+AB+B^2) $

´Ñ§¹Ñé¹ $ (a+b)^3-8b^3 = (a+b)^3-(2b)^3 $ ¹Ñè¹àͧ

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Old 21 ¡Ã¡®Ò¤Á 2010, 19:24
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·ÓäÁèà»ç¹¤èÐ -..-
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Old 21 ¡Ã¡®Ò¤Á 2010, 20:34
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á·¹¤èÒµÒÁÊٵäÃѺ
${(a+b)}^3-{(2b)}^3=[(a+b)-2b][{(a+b)}^2+(a+b)(2b)+{(2b)}^2]$
$=(a-b)(a^2+2ab+b^2+2ab+2b^2+4b^2)$
$=(a-b)(a^2+4ab+7b^2)$
⨷Âì¤ØÁͧãªèÁÑé¤ÃѺà¹ÕèÂ
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Old 23 ¡Ã¡®Ò¤Á 2010, 21:18
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23 ¡Ã¡®Ò¤Á 2010 21:29 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ nongtum
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