RBSE Solutions for Class 8 Maths Chapter 14 गुणनखंडन Intext Questions

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

RBSE Class 8 Maths Solutions Chapter 14 गुणनखंडन Intext Questions

(प्रयास कीजिए - पृष्ठ 27)

प्रश्न-गुणनखण्ड कीजिए-
(i) 12x + 36
(ii) 22y - 33z
(iii) 14pq + 35 pqr
हल:
(i) 12x = 12 × x और 36 = 12 × 3
∴ 12x + 36 = (12 × x) + (12 × 3)
= 12(x + 3)

(ii) 22y = 11 × 2 × y और 33z = 1 1× 3 × z
∴ 22y - 33z = (1 1 × 2 × y) - (11 × 3 × z)
= 11 × (2 × y - 3 × z)
= 11(2y - 3z)

(iii) 14pq = 7 × 2 × p × q
और 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)

(प्रयास कीजिए - पृष्ठ 234 )

प्रश्न-भाग दीजिए
(i) 24xy²z³ को 6yz² से
(ii) 63a²b⁴c⁶ को 7a²b²c³ से
हल:
(i) 24xy²z³ ÷ 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) 63a²b⁴c⁶ को 7a²b²c³ से
= \(\frac{7 \times 9 \times a \times a \times b \times b \times b \times b \times c \times c \times c \times c \times c \times c}{7 \times a \times a \times b \times b \times c \times c \times c}\)
= \(\frac{9 \times b \times b \times c \times c \times c}{1}\)
= 9b²c³