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

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## 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) 4p3, 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) (20x2, 5y2);
(iv) (4x, 3x2);
(v) (3mn, 4np).

Solution.

(i) (p, q)
Length = p
âˆ´ Area of the rectangle
= pxq
= pq

(ii) (10m, 5n)
Length = 10 m
âˆ´ Area of the rectangle
= (10m) x (5n)
= (10 x 5) x (m x n)
= 50 x (mn)
= 50 mn

(iii) (20x2, 5y2)
Length = 20x2
âˆ´ Area of the rectangle
= (20x2) x (5y2)
= (20 x 5) x (x2Ã—y2)
= 100 x (x2y2)
= 100x2y2

(iv) (4x, 3xP)
Length = 4.x
âˆ´ Area of the rectangle
(4x) x (3x2)
= (4 x 3) x (xÃ—x2)
= 12 x x3
= 12Ã—3

(v) (3mn, 4np)
Length = 3 mn
âˆ´ Area of the rectangle
= (3mn) x (4np)
= (3 x 4) x (mn) x (np)
= 12 x m x (n x n) x p
= 12mn2p

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, 3a2, 7a4
(ii) 2p, 4q, 8r
(iii) xy, 2x2y, 2xy2
(iv) a, 2b, 3c

Solution.

(i) 5a,3a2,7a4

(ii) 2p, 4q, 8r

(iii) xy,2x2y,2xy2

(iv) a, 2b, 3c

Question 5. Obtain the product of

(i) xy, yz, zx
(ii) a, âˆ’a2, a3
(iii) 2, 4y, 8y2, 16y3
(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’a2, a3

(iii) 2,4y,8y2,16y3

(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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