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A day full of math games & activities. Find one near you.
Complete the table of products
Solution:
Multiplication of two algebraic expressions or variable expressions involves multiplying two expressions that are combined with arithmetic operations such as addition, subtraction, multiplication, division, and contain constants, variables, terms, and coefficients.
In the given table, multiply the first monomial given horizontally with the second monomial vertically to get the result.
First monomial →
Second monomial ↓ |
2x | -5 y | 3x2 | -4xy | 7x2 y | -9x2 y2 |
2x | 4x2 | -10xy | 6x3 | -8x2 y | 14x3 y | -18x3 y2 |
-5 y | -10xy | 25 y2 | -15x2 y | 20xy2 | -35x2 y2 | 45x2 y3 |
3x2 | 6x3 | -15x2 y | 9x4 | -12x3 y | 21x4 y | -27x4 y2 |
-4xy | -8x2 y | 20xy2 | -12x3 y | 16x2 y2 | -28x3 y2 | 36x3 y3 |
7x2 y | 14x3 y | -35x2 y2 | 21x4 y | -28x3 y2 | 49x4 y2 | -63x4 y3 |
-9x2 y2 | -18x3 y2 | 45x2 y3 | -27x4 y2 | 36x3 y3 | -63x4 y3 | 81x4 y4 |
☛ Check: NCERT Solutions for Class 8 Maths Chapter 9
Video Solution:
Complete the table of products
NCERT Solutions Class 8 Maths Chapter 9 Exercise 9.2 Question 3
Summary:
From the table, multiply the first monomial given horizontally with the second monomial vertically to get the result to complete the table of products.
☛ Related Questions:
- Find the product of the following pairs of monomials. (i) 4,7 p (ii ) -4p, 7p (iii ) -4p, 7pq (iv) 4p3, 3p (v) 4p, 0
- Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively. (i) ( p, q) (ii) (10m, 5n) (iii) (20x2, 5y2) (iv) (4x, 3x2) (v) (3mn, 4np)
- Obtain the volume of rectangular boxes with the following length, breadth and height respectively. (i) 5a, 3a2,7a4 (ii) 2 p, 4q, 8r (iii) xy, 2x2 y, 2xy2 (iv) a, 2b, 3c
- Obtain the product of (i) xy, yz, zx (ii ) a, a2,a3 (iii) 2, 4 y, 8 y2, 16 y3 (iv) a, 2b, 3c, 6abc (v) m, - mn, mnp
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