Gujarat Board 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 × 2 × 2 × x

= (2 × 2 × 3) × x

36 = 2 × 2 × 3 × 3

= (2 × 2 × 3) × 3

∴ 12x + 36 = [(2 × 2 × 3) × x] + (2 × 2 × 3) × 3

= (2 × 2 × 3)[x + 3]

= 12[x + 3]

2. We have 22y = 2 × 11 × y

33z = 3 × 11 × z

∴ 22y – 33z = [2 × (11) × y] – [3 × (11) × z]

= (11)[2 × y – 3 × z]

= 11[2y – 3z]

3. We have 14pq = 2 × 7 × p × q = 2 × (7 × p × q)

35pqr = 5 × 7 × p × q × r

= 5 × (7 × p × q) × r

∴ 14pq + 35pqr

= 2 × (7 × p × q) + 5 × (7 × p × q) × r

= (7 × p × q)[2 + 5 × 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 × a^{2-2} × b^{4-2} × c^{6-3}

= 9 × a^{0} × b^{2} × c^{3}

= 9 × 1 × b^{2} × c^{3} = 9b^{2}c^{3}

∴ 63a^{2}b^{4}c^{6} ÷ 7a^{2}b^{2}c^{3} = 9b^{2}c^{3}