[DSE Mathematics] Required Reading for Junior High School Mathematics – Factoring

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讀書 數學 補習 補習中介

初中數學必讀 – 因式分解

進入中學之後學生學嘅嘢都會有微妙嘅變化,學嘅嘢多咗唔同咗,尤其係數學科。今日同大家介紹踏入初中後大家將會接觸到嘅一個基礎而又重要嘅課題 – 因式分解(Factorization)。

 

常用相關公式:

數學 因式分解 補習 補習中介

以下有幾條因式分解常用的公式

  1. (a+b)(c+d) = ac+ad+bc+bd
  2. (a+b)(a-b) = a2 – b2
  3. (a + b)2 = a2 + 2ab + b2
  4. (a – b)2 = a2 – 2ab + b2
  5. a3 + b3 = (a+b)(a2-ab+b2)
  6. a3 – b3 =(a-b)(a2+ab+b2)
  7. (a + b)3 = a3 + 3a2b + 3ab2 + b3
  8.  (a – b)3 = a3 – 3a2b + 3ab2 – b3

 

 

練習

大家都不彷試下做一做以下嘅因式分解題目,睇下可以完成到幾多題啦!

數學 補習 補習中介

事不宜遲,我哋馬上熟習一下

 

因式分解:

  1. 4k + 6
  2. a(2c-6)+3 – c
  3. 4m2+8mn+4n
  4. 4x2-8xy+4y2-10x+10y
  5. (4a+3b)2 – (2a – b)2

 

 

Answer

  1. 2(2k+3)
  2. (2a-1)(c-3)
  3. (2m+2n)2
  4. (2x-2y)(2x-2y-5)
  5. (6a+2b)(2a+4b)

 

Summarize

唔知大家又答啱幾多題呢?之後我會同大家探討其他數學科的課題,一齊發掘學習數學嘅樂趣!

 

Extended reading: [learning experience sharing] mathematics should be read?

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