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)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo