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
-
Addition of 10, 100 and 1000 | Adding 10 | Adding 100 | Adding 1000
Jan 10, 25 01:20 AM
Here we will learn Addition of 10, 100 and 1000 with the help of different examples. -
Estimating a Sum | Round the Number | Numbers by Rounding | Estimating
Jan 10, 25 12:10 AM
We will learn the basic knowledge for estimating a sum. Here we will learn an easy way to estimate a sum of two numbers by rounding. In case of two digit numbers we can only round the number -
Worksheet on Addition of 4-Digit Numbers | 4 Digit Addition Worksheets
Jan 09, 25 10:50 PM
Practice the questions given in the worksheet on addition of 4-digit numbers. Here we will add two 4-digit numbers (without carrying and with carrying) and three 4-digit numbers -
Addition of 4-Digit Numbers | 4-Digit Addition |Adding 4-Digit Numbers
Jan 09, 25 10:07 PM
We will learn about the addition of 4-digit numbers (without carrying and with carrying). We know how to add 2 or 3, 3-digit numbers without carrying or with carrying. -
Adding 4-digit Numbers without Regrouping | 4-digit Addition |Addition
Jan 07, 25 11:45 AM
We will learn adding 4-digit numbers without regrouping. We first arrange the numbers one below the other in place value columns and then add the digits under each column as shown in the following exa…
● 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.