Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips.
Home | About Us | Contact Us | Privacy | Math Blog
Multiplication of Two Monomials
Multiplication of two monomials means product of their numerical coefficients and product of their literal coefficients.
According to the power of literal quantities we can express, m2 = m × m and m3 = m × m × m. Here, m2 and m3 both are monomials.
Therefore, multiplication of m2 and m3 = m2 × m3
= (m × m) × (m × m × m)
= m × m × m × m × m
= m5Or, in other way we can simply add the powers since the base is same. In case of m2 × m3 both have same base then we get, m2 + 3 = m5
Note: To multiply, the powers of like factors or same base are added.
Similarly, we can multiply the two monomials 7a2b and 5ab2 in two different ways.
7a2b and 5ab2
= 7a2b × 5ab2
= (7 × a × a × b) × (5 × a × b × b)
= (7 × 5) × (a × a × a) × (b × b × b)
= 35a3b3
or, in other way we can simply 7a2b × 5ab2
= (7 × 5) ∙ a2 + 1 ∙ b1 + 2
= 35a3b3
Therefore, to multiply two monomials, multiply their coefficients together and prefix their product to the product of letters in the monomials.
Examples on multiplication of two monomials:
1. Find the product of 9a2b3, 2b2c5 and 3ac2.9a2b3 × 2b2c5 × 3ac2
= (9 × a × a × b × b × b) × (2 × b × b × c × c × c × c × c) × (3 × a × c × c)
= (9 × 2 × 3) × (a × a × a) × (b × b × b × b × b) × (c × c × c × c × c × c × c)
= 54 × a3 × b5 × c7
= 54a3b5c7
2. Find the product of -9x2yz3, 5/3xy3z2 and -7yz.
-9x2yz3 × 5/3xy3z2 × -7yz
= (-9 × 5/3 × -7) × (x2 × x) × (y × y3 × y) × (z3 × z2 × z)
Now we need to add the powers of the same bases i.e. x, y and z.
= (315/3) × (x2 + 1) × (y1 + 3 + 1) × (z3 + 2 + 1)
= 105 × x3 × y5 × z6
= 105x3y5z6
● Terms of an Algebraic Expression
Types of Algebraic Expressions
Multiplication of Two Monomials
Multiplication of Polynomial by Monomial
Multiplication of two Binomials
Algebra Page
6th Grade Page
From Multiplication of Two Monomials to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo
Jul 28, 25 01:52 PM
In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar… -
Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox
Jul 25, 25 03:15 AM
We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks: -
Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume
Jul 24, 25 03:46 PM
Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur… -
Volume of a Cube | How to Calculate the Volume of a Cube? | Examples
Jul 23, 25 11:37 AM
A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure i… -
5th Grade Volume | Units of Volume | Measurement of Volume|Cubic Units
Jul 20, 25 10:22 AM
Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on…
● Terms of an Algebraic Expression - Worksheet
Worksheet on Types of Algebraic Expressions
Worksheet on Degree of a Polynomial
Worksheet on Addition of Polynomials
Worksheet on Subtraction of Polynomials
Worksheet on Addition and Subtraction of Polynomials
Worksheet on Adding and Subtracting Polynomials
Worksheet on Multiplying Monomials
Worksheet on Multiplying Monomial and Binomial
Worksheet on Multiplying Monomial and Polynomial
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.