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:

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

practise

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

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

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?