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NCERT solutions for class 8 maths chapter 8 exercise 8.2




In this page we have ncert solutions for class 8 maths chapter 8 exercise 8.2 for Algebraic Expressions .This exercise has questions about multiplication of polynomials like mononial to monomials. Hope you like them and do not forget to like , social share and comment at the end of the page.

NCERT solutions for class 8 maths chapter 8 EX 8.2

Question 1
Find the product of the following pairs of monomials.
(i) 4, 7p
(ii) - 4p, 7p
(iii) - 4p, 7pq
(iv)4p3, - 3p
(v) 4p, 0
Answer:
  1. 4 x 7p = 28p
  2. - 4p x 7p = -28p2
  3.  - 4p x 7pq = -28p2q
  4. 4p3 x - 3p = -12p4
  5. 4p x 0 = 0

Question 2
Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively.
  1. (p, q)
  2. (10m, 5n)
  3. (20x2 5y2)
  4. (4x, 3x2)\
  5. (3mn, 4np)
Answer
Now we know that
Area of rectangle = Length x breadth
So it is multiplication of monomials
(i) p x q = pq
(ii)10m x  5n = 50mn
(iii) 20x2 x  5y2= 100x2y2
(iv) 4x x 3x2 = 12x3
(v)3mn x 4np = 12mn2p

Question 3.
Complete the following table of products:
NCERT solutions for class 8 maths chapter 8 exercise 8.2
Answer
NCERT solutions for class 8 maths chapter 8 exercise 8.2

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Question 4
Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
  1. 5a, 3a2, 7a8
  2. (2p, 4q, 8r)
  3. xy, 2x2y, 2xy2
  4. (a, 2b, 3c
Answer
We know that volume of rectangular box is given by Volume = length x  breadth x  height
(i)5a x 3a2 x 7a8 = 105a11
(ii) 2p x 4q x 8r = 64pqr
(iii) xy x 2x2y x 2xy2 = 4x4y4
(iv) a x  2b x 3c = 6abc

Question 5
Obtain the product of
  1. xy,  yz, zx
  2. a, - a2 a3
  3. 2, 4y, 8y2 16y3
  4. a, 2b, 3c, 6abc
  5. m, - mn, mnp
Answer:
(i) x2y2z2
(ii) -a5
(iii) 1024y6
(iv) 36a2b2c2
(v) -m3n2p

Summary

  1. NCERT solutions for class 8 maths chapter 8 exercise 8.2 has been prepared by Expert with utmost care. If you find any mistake.Please do provide feedback on mail. You can download the solutions as PDF in the below Link also
    Download Algebraic Expressions Exercise 8.2 as pdf
  2. This chapter 8 has total 4 Exercise 8.1 ,8.2 ,8.3 ,8.4 as per latest syllabus. Exercise 8.5 is deleted as per latest syllabus This is the Second exercise in the chapter.You can explore previous exercise of this chapter by clicking the link below
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