# GSEB Solutions Class 8 Maths Chapter 14 Factorization Intex Questions

Gujarat BoardĀ GSEB Textbook Solutions Class 8 Maths Chapter 14 Factorization Intex Questions and Answers.

## Gujarat Board Textbook Solutions Class 8 Maths Chapter 14 Factorization Intex Questions

Try These (Page 219)

Question 1.
Factorise

1. 12x + 36
2. 22y – 33z
3. 14pq + 35pqr

Solution:
1. We have 12x = 3 Ć 2 Ć 2 Ć x
= (2 Ć 2 Ć 3) Ć x
36 = 2 Ć 2 Ć 3 Ć 3
= (2 Ć 2 Ć 3) Ć 3
ā“ 12x + 36 = [(2 Ć 2 Ć 3) Ć x] + (2 Ć 2 Ć 3) Ć 3
= (2 Ć 2 Ć 3)[x + 3]
= 12[x + 3]

2. We have 22y = 2 Ć 11 Ć y
33z = 3 Ć 11 Ć z
ā“ 22y – 33z = [2 Ć (11) Ć y] – [3 Ć (11) Ć z]
= (11)[2 Ć y – 3 Ć z]
= 11[2y – 3z]

3. We have 14pq = 2 Ć 7 Ć p Ć q = 2 Ć (7 Ć p Ć q)
35pqr = 5 Ć 7 Ć p Ć q Ć r
= 5 Ć (7 Ć p Ć q) Ć r
ā“ 14pq + 35pqr
= 2 Ć (7 Ć p Ć q) + 5 Ć (7 Ć p Ć q) Ć r
= (7 Ć p Ć q)[2 + 5 Ć r] = 7pq(2 + 5r)

Try These (Page 225)

Question 1.
Divide:
(i) 24xy2z3 by 6yz2
(ii) 63a2b4c6 by 7a2b2c3
Solution:
(i) We have 2xy2z3

= 9 Ć a2-2 Ć b4-2 Ć c6-3
= 9 Ć a0 Ć b2 Ć c3
= 9 Ć 1 Ć b2 Ć c3 = 9b2c3
ā“ 63a2b4c6 Ć· 7a2b2c3 = 9b2c3