HBSE 8th Class Maths Solutions Chapter 14 गुणनखंडन Intext Questions

Haryana State Board HBSE 8th Class Maths Solutions Chapter 14 गुणनखंडन Intext Questions and Answers.

Haryana Board 8th Class Maths Solutions Chapter 14 गुणनखंडन Intext Questions

(प्रयास कीजिए – पृष्ठ 227)

प्रश्न 1.
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 1.
भाग दीजिए
(i) 24xy²z³ को 6yz² से
(ii) 63a²b⁴c⁶ को 7a²b²c³ से
हल:
(i) 24xy²z³ + 6yz²
= \(\frac{6 \times 4 \times x \times y \times y \times z \times z \times z}{6 \times y \times z \times z}\)
= \(\frac{4 \times x \times y \times z}{2}\)
= 4xyz

(ii) 63a²b⁴c⁶ ÷ 7a²b²c³
= \(\frac{7 \times 9 \times a \times a \times b \times b \times b \times b \times c \times c \times c \times c \times c \times c}{7 \times a \times a \times b \times b \times c \times c \times c}\)
= 9 x b² x c³ = 9b²c³