Suppose we want to factorise,

  2x + 4

 

Find, we find common factors individually

  2x = 2 × x

  4 = 2 × 2

 

Since 2 is common, we take that out

 

So,

  2x + 4 = 2 × x + 2 × 2

   = 2 (x + 2)

 

 

So,

  2x + 4 = 2 × (x + 2)

 

Let’s take another example

 

2 x y + 2y

Finding factors

  2xy = 2 × x × y

  2y = 2 × y

 

So, 2 & y are the common factors.

 

So,

   2xy + 2y = 2 × x × y + 2 × y

 

 = 2 × y (x + 1)

 = 2y (x + 1)

So,

  2xy + 2y = 2y (x + 1)

 

5x 2 y + 10x

Finding factors

     5x 2 y = 5 × x 2 × y

             = 5 × x × x × y

 

      10x = 10 × x

             = 2 × 5 × x

So,

      5x 2 y + 10x = 5 × x × x × y + 2 × 5 × x

   = 5 × x (x × y + 2)

   = 5x (xy + 2)

  1. Chapter 14 Class 8 Factorisation
  2. Concept wise

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.