Dividing monomial by monomial

Last updated at Dec. 16, 2024 by

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

 

 

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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