Suppose we want to divide

  6x 3 ÷ 2x

 

We first factorise 6x 3 ÷ 2x separately

   6x 3 = 6 × x 3

         = 2 × 3 × x × x × x

  2x = 2 × x

And then, divide

  (6x 3 )/2x = (2 × 3 × x × x × x)/(2 × x)

      = 3 × x × x

      = 3x 2

 

Let’s do some more examples

 

6x 3 ÷  3x 2

Factorising 6x 3 ÷ 3x 2 separately

6x 3 = 6 × x 3

= 2 × 3 × 𝑥 × 𝑥 × 𝑥

 

3x 2 = 3 × x 2

= 3 × 𝑥 × 𝑥

 

Dividing

(6x 3 )/(3x 2 ) = (2 × 3 × x × x × x)/(3 × x × x)

                  = 2𝑥

 

 

  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.