Factorisation Class 8 Maths Chapter 14

Syllabus of class 8 Maths

Syllabus of Class 8 Mathematics

1.Rational Numbers

2.Linear Equations in one variable

3.Understanding Quadrilaterals

4.Practical Geometry

5.Data Handling

6.Squares Square Roots

7.Cube and Cube Roots

8.Comparing Quantities

9.Algebraic Expressions and Identities

10.Visualising Solid Shapes

11.Mensuration

12.Exponents and Powers

13.Direct and Inverse Properties

14.Factorisation

15.Introduction to Graph

16.Playing with Numbers

Class 8 Maths Chapter 14 Factorisation Study Material PDF

*Class 8 Maths Chapter 14 Factorisation Solution PDF

Solutions of Ex 14.1

Question 1.

Find the common factors of the given terms.


Solution :
(i) 12x = 2 × 2 × 3

36 = 2 × 2 × 3 × 3

Hence, the common factors are 2, 2 and 3 = 2 × 2 × 3 = 12
(ii)   2y = 2 ×y

 22xy = 2 × 11 × x × y

Hence the common factors are
2 and y  =  2 × y = 2y

(iii) 14 pq = 2×7× p × q

Question 2.
Factorize the following expressions.
       

Solution :




Taking common factors from each term,

 

Question 3.
Factorize:
    

Solution :
  Solutions for Class 8 Maths Exercise 14.2
Question 1.
Factorize the following expressions:



Solution :


 

Question 2.
Factorize
(i)  
(ii) 
(iii) 
(iv) 
(v) 
(vi) 
(vii) 
(viii) 
Solution :
 

Question 3.
Factorize the expressions:
 

Solution :


 

Question 4.
Factorize:

Solution :
 

(iv)

 

Question 5.
Factorize the following expressions:
     

Solution :
 


NCERT Solutions for Class 8 Maths Exercise 14.3
Question 1.
Carry out the following divisions:
     

Solution :
 



Question 2.
Divide the given polynomial by the given monomial:
   

Solution :
 

 

Question 3.
Work out the following divisions:
 


Solution :
 
 

(iii)


Solution :
 

 





Solution :
 
 

Question 13.



Solution :
 

Solution :
L.H.S. = R.H.S.

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