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:

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

 

 

practise

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

 

Factoring:

1. 4k+6
2. a(2c-6)+3 – c
3. 4m²+8mn+4n² 
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

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