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

- 12x + 36
- 22y – 33z
- 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) 24xy^{2}z^{3} by 6yz^{2}

(ii) 63a^{2}b^{4}c^{6} by 7a^{2}b^{2}c^{3}

Solution:

(i) We have 2xy^{2}z^{3}

= 9 Ć a^{2-2} Ć b^{4-2} Ć c^{6-3}

= 9 Ć a^{0} Ć b^{2} Ć c^{3}

= 9 Ć 1 Ć b^{2} Ć c^{3} = 9b^{2}c^{3}

ā“ 63a^{2}b^{4}c^{6} Ć· 7a^{2}b^{2}c^{3} = 9b^{2}c^{3}