# 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 | 3x^{2} |
-4xy | 7x^{2} y |
-9x^{2} y^{2} |

2x | 4x^{2} |
-10xy | 6x^{3} |
-8x^{2} y |
14x^{3} y |
-18x^{3} y^{2} |

-5 y | -10xy | 25 y^{2} |
-15x^{2} y |
20xy^{2} |
-35x^{2} y^{2} |
45x^{2} y^{3} |

3x^{2} |
6x^{3} |
-15x^{2} y |
9x^{4} |
-12x^{3} y |
21x^{4} y |
-27x^{4} y^{2} |

-4xy | -8x^{2} y |
20xy^{2} |
-12x^{3} y |
16x^{2} y^{2} |
-28x^{3} y^{2} |
36x^{3} y^{3} |

7x^{2} y |
14x^{3} y |
-35x^{2} y^{2} |
21x^{4} y |
-28x^{3} y^{2} |
49x^{4} y^{2} |
-63x^{4} y^{3} |

-9x^{2} y^{2} |
-18x^{3} y^{2} |
45x^{2} y^{3} |
-27x^{4} y^{2} |
36x^{3} y^{3} |
-63x^{4} y^{3} |
81x^{4} y^{4} |

**☛ 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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