RBSE Solutions for Class 8 Maths Chapter 14 Factorization Intext Questions

Rajasthan Board RBSE Solutions for Class 8 Maths Chapter 14 Factorization Intext Questions Textbook Exercise Questions and Answers.

RBSE Class 8 Maths Solutions Chapter 14 Factorization Intext Questions

(Try These - Page 219)

Question 1.
Factorise:
(i) 12x + 36
Answer:
12x = 12 × x and 36 = 12 × 3
∴ 12x + 36 = (12 × x) + (12 × 3)
= 12(x + 3)

(ii) 22y - 33z
Answer:
22y = 11 × 2 × y and 33z = 11 × 3 × z
22y - 33z = (11 × 2 × y) - (11 × 3 × z)
= 11 × (2 × y - 3 × z)
= 11 (2y - 3z)

(iii) 14pq + 35
Answer:
14pq = 7 × 2 × p × q
and 35pqr = 7 × 5 × p × q × r
14pq + 35pqr = (7 × 2 × p × q) + (7 × 5 × p × q × r)
= 7 × p × q × (2 + 5 × r)
= 7pq (2 + 5r)

(Try These - Page 225)

Question 1.
Divide:
(i) 24xy²z³ by 6yz²
Answer:
24xy²z³ by 6yz² = \(\frac{6 \times 4 \times x \times y \times y \times z \times z \times z}{6 \times y \times z \times z}\)
= \(\frac{4 \times x \times y \times z}{1}\)
= 4xyz

(ii) 63a² b⁴c⁶ by 7a²b²c³
Answer:
63a² b⁴c⁶ ÷ 7a²b²c³
= \(\frac{7 \times 9 \times a \times a \times b \times b \times b \times b \times c \times c \times c \times c \times c \times c}{7 \times a \times a \times b \times b \times c \times c \times c}\)
= \(\frac{9 \times b \times b \times c \times c \times c}{1}\)
= 9b²c³