# NCERT Solutions For Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.2

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 8 |

Subject | Maths |

Chapter | Chapter 9 |

Exercise | Class 8 Chapter 9 Algebraic Expressions and Identities Exercise 9.2 |

Number of Questions Solved | 5 |

## NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.2

**NCERT TEXTBOOK EXERCISES**

**Question 1. Find the product of the following pairs of monomials:**

**(i)** 4, 7p**(ii)** â€“ 4p, 7p**(iii)** â€“ 4p, 7pq**(iv)** 4p^{3}, âˆ’3p**(v)** 4p, 0.

**Solution.**

**Question 2. Find the areas of rectangles with the following pairs of mononials as their lengths and breadths respectively:**

**(i)** (p, q);**(ii) **(10m, 5n);**(iii) **(20x^{2}, 5y^{2});**(iv) **(4x, 3x^{2});**(v) **(3mn, 4np).

**Solution.**

**(i) (p, q)**

Length = p

Breadth = q

âˆ´ Area of the rectangle

= Length x Breadth

= pxq

= pq

**(ii) (10m, 5n)**

Length = 10 m

Breadth = 5 n

âˆ´ Area of the rectangle

= Length x Breadth

= (10m) x (5n)

= (10 x 5) x (m x n)

= 50 x (mn)

= 50 mn

**(iii) (20x ^{2}, 5y^{2})**

Length = 20x

^{2}

Breadth = 5y

^{2}

âˆ´ Area of the rectangle

= Length x Breadth

= (20x

^{2}) x (5y

^{2})

= (20 x 5) x (x

^{2}Ã—y2)

= 100 x (x

^{2}y

^{2})

= 100x

^{2}y

^{2}

**(iv) (4x, 3xP)**

Length = 4.x

Breadth = 3x^{2}

âˆ´ Area of the rectangle

= Length x Breadth =

(4x) x (3x^{2})

= (4 x 3) x (xÃ—x^{2})

= 12 x x^{3}

= 12Ã—3

**(v) (3mn, 4np)**

Length = 3 mn

Breadth = 4np

âˆ´ Area of the rectangle

= Length x Breadth

= (3mn) x (4np)

= (3 x 4) x (mn) x (np)

= 12 x m x (n x n) x p

= 12mn^{2}p

**Question 3. Complete the table of products.**

**Solution.**

**Question 4. Obtain the volume of rectangular boxes with the following length, breadth and height respectively:**

**(i)** 5a, 3a^{2}, 7a^{4}**(ii)** 2p, 4q, 8r**(iii)** xy, 2x^{2}y, 2xy^{2}**(iv)** a, 2b, 3c

**Solution.**

**(i) 5a,3a ^{2},7a^{4}**

**(ii) 2p, 4q, 8r**

**(iii) xy,2x ^{2}y,2xy^{2}**

**(iv) a, 2b, 3c**

**Question 5. Obtain the product of**

**(i)** xy, yz, zx**(ii)** a, âˆ’a^{2}, a^{3}**(iii)** 2, 4y, 8y^{2}, 16y^{3}**(iv)** a, 2b, 3c, 6abc**(v)** m, â€“ mn, mnp.

**Solution.**

**(i) xy, yz, zx**

Required product

= (xy) x (yz) x (zx)

**(ii) a, âˆ’a ^{2}, a^{3}**

**(iii) 2,4y,8y ^{2},16y^{3}**

**(iv) a, 2b, 3c, 6abc**

**(v) m, â€“ mn, mnp.**

## NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Exercise 9.2 PDF

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### Class 8 Maths Chapter 9 Algebraic Expressions and Identities

**Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1****Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.2****Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.3****Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.4****Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5**