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乘法公式 ( a + b + c ) 2

乘法公式 ( a + b + c ) 2. 製作：第一組. ( a + b + c ) 2 = a 2 + b 2 + c 2 +2 ab +2 bc +2 ac 我們用以下這種方式驗證. a. c. b. 設一正方形邊長分為不等長的三等份： a 、 b 、 c( 如右圖 ). c. 所以長方形面積是 ( a + b + c ) 2. b. a. 然後乘出來 所以，我們知道： ac+bc+c 2 +ab+b 2 +bc+a 2 +ab+ac. a. b. c. c. ac. bc. c 2. b 2. bc.

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乘法公式 ( a + b + c ) 2

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  1. 乘法公式(a + b + c)2 製作：第一組

  2. (a + b + c)2 = a2 + b2+ c2+2ab+2bc+2 ac我們用以下這種方式驗證 a c b 設一正方形邊長分為不等長的三等份：a、b、c(如右圖) c 所以長方形面積是(a + b + c)2 b a

  3. 然後乘出來 所以，我們知道：ac+bc+c2+ab+b2+bc+a2+ab+ac a b c c ac bc c2 b2 bc ab 整理後可得 a2+b2+c2+2ab+2bc+2ac b a2 ab ac a 所以(a + b + c)2 =a2+b2+c2+2ab+2bc+2ac

  4. 謝謝大家

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