Factorisation - Solutions 2
CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 14
Factorisation (Ex. 14.2)
NCERT Solutions
CHAPTER - 14
Factorisation (Ex. 14.2)
1. Factorize the following expressions:
(i)

(ii) 

(iii)

(iv) 

(v)

(vi) 

(vii)

[Hint: Expand
first]

(viii) 

Ans. (i) 

Using identity
,

Here
and 




(ii) 

Using identity
,

Here
and 



(iii) 

Using identity
, here 



(iv) 



Using identity
, here 



(v) 

Using identity
, here 



(vi) 



Using identity
, here 



(vii)

=



= 

= 

=



(viii) 

=



2. Factorize:
(i)

(ii) 

(iii)

(iv) 

(v)

(vi) 

(vii)

(viii) 

Ans. (i) 

=



(ii)


=



(iii)
= 


=



(iv) 

= 

=



(v)



= 

= (2l) (2m) = 4lm
(vi) 

=



(vii)



=



(viii) 


= 

=



= 

=



= 

3. Factorize the expressions:
(i)

(ii) 

(iii)

(iv) 

(v)

(vi) 

(vii)

(viii) 

(ix) 

Ans. (i)
= 


(ii)
= 


(iii)
= 


(iv)

=

= 

(v)
= 


= 

(vi)
=


(vii)

= 

= 

= 

(viii) 

= 

= 

(ix)

= 

= 

= 

4. Factorize:
(i)
(ii) 


(iii)
(iv) 


(v) 

Ans. (i) 

=



=



(ii) 

=



= 

=



(iii) 

=



=



= (x - y - z) (x + y + z) [x2 + (y + z)2]
(iv) 

=



= [x - (x - z)][x + (x - z)] [x2 + (x - z)2] 

= [x - x + z] [x + x - z] [x2 + x2 - 2xz + z2] 

= z (2x - z) (2x2 - 2xz + z2)
(v)
= 


=



=



=



5. Factorize the following expressions:
(i)

(ii) 

(iii) 

Ans.
(i) 

= 

= 

= 

(ii) 

= 

= 

= 

(iii) 

= 

= 

= 
