Factorisation - Solutions 1
CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 14
Factorisation (Ex. 14.1)
NCERT Solutions
CHAPTER - 14
Factorisation (Ex. 14.1)
1. Find the common factors of the given terms.
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(vi) 
(vii) 
(viii) 
Ans. (i) 
Hence, the common factors are 2, 2 and 3 = 2 
2 3 = 12
2 3 = 12
(ii) 
Hence, the common factors are 2 and 
= 
=
(iii) 
Hence, the common factors are 
(iv) 
Hence, the common factor is 1.
(v) 
Hence, the common factors are 
(vi) 
Hence the common factors are 
(vii) 
Hence the common factors are 
(viii) 
Hence the common factors are 
2. Factorize the following expressions.
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(vi) 
(vii) 
(viii) 
(ix) 
(x) 
Ans.
(i) = 
(i)
=
Taking common factors from each term,
= 
= 
(ii) = 
=
Taking common factors from each term,
= 
= 
(iii) 
Taking common factors from each term,
= 
= 
(iv)
Taking common factors from each term,
Taking common factors from each term,
= 
= 
(v)
Taking common factors from each term,
= 
= 
(vi) 
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change the image with image_3310_1
Taking common factors from each term,
= 
= 
(vii)
Taking common factors from each term,
Taking common factors from each term,
= 
= 
(viii)
Taking common factors from each term,
Taking common factors from each term,
= 
= 4a (-a + b - c)
(ix)
Taking common factors from each term,
Taking common factors from each term,
= 
= 
(x)
Taking common factors from each term,
Taking common factors from each term,
= 
= 
3. Factorize:
(i) 
(ii) 
(iii) 
(iv) 
(v) 
Ans. (i) 
= 
(ii) 
= 
(iii) 
= 
=
= 
(iv) 
= 
= 
(v) 
= 
= 
= 
