RBSE Solutions for Class 8 Maths Chapter 10 गुणनखण्ड Ex 10.1 is part of RBSE Solutions for Class 8 Maths. Here we have given Rajasthan Board RBSE Class 8 Maths Chapter 10 गुणनखण्ड Exercise 10.1.

Board |
RBSE |

Textbook |
SIERT, Rajasthan |

Class |
Class 8 |

Subject |
Maths |

Chapter |
Chapter 10 |

Chapter Name |
गुणनखण्ड |

Exercise |
Exercise 10.1 |

Number of Questions |
3 |

Category |
RBSE Solutions |

## Rajasthan Board RBSE Class 8 Maths Chapter 10 गुणनखण्ड Ex 10.1

प्रश्न 1

दिए हुए पदों में सार्व गुणनखण्ड(RBSESolutions.com)ज्ञात कीजिए

(i) 12x, 36

(ii) 14pq, 28p^{2}q^{2}

(iii) 6abc, 24ab^{2}, 12a^{2}b

(iv) 16x^{3}, – 4x^{2}, 32x

(v) 10pq, 20qr, 30rp

(vi) 3x^{2}y^{3}, 10x^{2}y^{2}, 6x^{2}y^{2}z

हल:

(i) 12x, 36

12x = 2 x 2 x 3 x x

36 = 2 x 2 x 3 x 3

∴ सार्व गुणनखण्ड = 2 2 x 3 = 12

(ii) 14pq, 28p^{2}q^{2}

14pq = 2 x 7 x p x q2

28p^{2}q^{2} = 2 x 2 x 7 x p x p x q x q

∴ सार्व गुणनखण्ड = 2 x 7 x p x q = 14pq

(iii) 6abc, 24ab^{2}, 12a^{2}b

6abc = 2 x 3 x 4 x 6 x c

24ab^{2} = 2 x 2 x 2 x 3 x a x b x b

12a^{2}b = 2 x 2 x 3 x a x a x b

∴ सार्व गुणनखण्ड = 2 x 3 x a x b = 6ab

(iv) 16x^{3}, – 4x^{2}, 32x

16x^{3} = 2 x 2 x 2 x 2 x x x x x x

– 4x^{2} = (-1) x 2 x 2 x x x x

32x = 2 x 2 x 2 x 2 x 2 x x

∴ सार्व गुणनखण्ड = 2 x 2 x x = 4x

(v) 10pq, 20qr, 30rp

10pg = 2 x 5 x p x q

20qr = 2 x 2 x 5 x q x r

30rp = 2 x 3 x 5 x r x p

∴ सार्व(RBSESolutions.com)गुणनखण्ड = 2 x 5 = 10

(vi) 3x^{2}y^{3}), 10x^{2}y^{2}, 6x^{2}y^{2}z

3x^{2}y^{2} = 3 x x x x x y x y x y

10 x^{2}y^{2} = 2 x 5 x x x x x y x y

6x^{2}y^{2}z = 2 x 3 x x x x x y x y z

∴ सार्व गुणनखण्ड = x x x x y x y = x^{2}y^{2}

प्रश्न 2

निम्नलिखित व्यंजकों के गुणनखण्ड(RBSESolutions.com)कीजिए (सार्वं गुणनखण्ड द्वारा)

(i) 6p – 12

(ii) 7a^{2} + 14a

(iii) 10a^{2} – 15b^{2} + 20c^{2}

(iv) ax^{2}y + bxy^{2} + cxyz.

(v) x^{2}yz + xy^{2}z + xyz^{2}

(vi) – 16z +20z^{2}

हल:

(i) 6p – 12q

6p – 12q = 6 (p – 2q)

(ii) 7a^{2} + 14a

7a^{2}+ 14a = 7a (a + 2)

(iii) 10a^{2} – 15b^{2} + 20c^{2}

10a^{2} – 15b^{2}+ 20c^{2}

= 5 (2a^{2} – 3b^{2}+ 4c^{2})

(iv) ax^{2}y + bxy^{2} + cxyz

ax^{2}y + bxy^{2}+ cxyz

= xy (ax + by + cz)

(v) x^{2}yz + xy^{2}z + xyz^{2}

x^{2}yz + xy^{2}z + xyz^{2}

= xyz (x + y + z)

(vi) – 16z + 20z^{3}

– 16z + 20z^{3}

= 4z (-4 + 5z^{2})

प्रश्न 3

गुणनखण्ड कीजिए(RBSESolutions.com)(समूहन द्वारा)

(i) 2xy + 3 + 2y + 3x

(ii) z – 7 – 7xy + xyz

(iii) 6ry – 4y + 6 – 9

(iv) 15pq + 15 + 99 + 25p

हल:

(i) 2xy + 3 + 2y + 3x

2xy + 3 + 2y + 3x

= 2xy + 2y + 3 + 3x

= 2y (x + 1) + 3(1 + x)

= 2y (x + 1) + 3 (x + 1)

= (x + 1) (2y + 3)

(ii) z – 7 – 7xy + xyz

z – 7 – 7xy + xyz

= z – 7 – xy (7 – z)

= 1 (z – 7) + xy (z – 7)

= (1 + xy) (z – 7)

= (xy + 1) (z – 7)

(iii) 6xy – 4y + 6 – 9x

6xy – 4y + 6 – 9x

= 2y (3x – 2) + 3(2 – 3x)

= 2y (3x – 2) – 3(3x – 2)

= (3x – 2) (2y – 3)

(iv) 15pq + 15 +9q + 25p

15pq + 15 + 9q + 25p

= 15pq + 9q + 15 + 25p

= 3q (5p + 3) + 5(3 + 5p)

= 3q (5p + 3) + 5 (5p + 3)

= (5p + 3) (3q + 5)

We hope the RBSE Solutions for Class 8 Maths Chapter 10 गुणनखण्ड Ex 10.1 will help you. If you have any query regarding Rajasthan Board RBSE Class 8 Maths Chapter 10 गुणनखण्ड Exercise 10.1, drop a comment below and we will get back to you at the earliest.

## Leave a Reply