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

A must-read for junior high school mathematics – factoring

After entering middle school, there will be subtle changes in what students learn. They learn more and different things, especially in core subjects. Today I would like to introduce to you a basic and important topic that you will be exposed to after entering junior high school – factorization.

Commonly used related formulas:

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Here are some commonly used formulas for factorization:

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




Why don't you all try to do the following factoring questions and see how many questions you can complete!

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Without further ado, let’s get familiar with it right away



  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




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



I wonder how many questions did everyone answer? Afterwards, I will discuss topics in other mathematics subjects with you, and let’s discover the fun of learning mathematics together!

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