# Multiplication of two Binomials

Multiplication of two binomials can be solved in both horizontal and column method.

Horizontal method:

Follow the following steps to multiply the binomials in the horizontal method:

1. First write the two binomials in a row separated by using multiplication sign.

2. Multiply each term of one binomial with each term of the other.

3. In the product obtained, combine the like terms and then add the like terms.

Therefore, we will learn how to multiply two binomials a + 5 by a + 7 using horizontal method.

a + 5 by a + 7

= (a + 5) ∙ (a + 7), [separate the two binomials using multiplication sign]

= a ∙ (a + 7) + 5 ∙ (a + 7), [multiplying each term of the first binomial with each term of the second binomial]

= a ∙ a + a ∙ 7 + 5 ∙ a + 5 ∙ 7

= a2 + 7a + 5a + 35, [combine the like terms]

= a2 + 12a + 35

Column method:

Follow the following steps to multiply the binomials in the column method:

1. Write the two binomials in two rows one below the other.

2. Multiply one term of the binomial in lower line (i.e. second row) with each term of the binomial in the upper line (i.e. first row) and write the product in the third row.

3. Multiply second term of the binomial in lower line (i.e. second row) with each term of the binomial in upper line (i.e. first row) and write the product in the fourth row in such a way that the like terms are one below the other.

4. Add the like terms column wise.

Therefore, we will learn how to multiply two binomials 5a - 6b and 7a + 8b using column method.

Solved examples on multiplication of two binomials:

1. Multiply 3x2 – 6y2 by 2x2 + 4y2

Solution:

3x2 – 6y2 by 2x2 + 4y2

= (3x2 – 6y2) ∙ (2x2 + 4y2), [separate the two binomials using multiplication sign]

= 3x2 ∙ (2x2 + 4y2) – 6y2 ∙ (2x2 + 4y2), [multiplying each term of the first binomial with each term of the second binomial]

= 6x4 + 12x2y2 – 12x2y2 – 24y4

= 6x4 + 12x2y2 – 12x2y2 – 244, [combine the like terms]

= 6x4 - 244

2. Multiply (m + 6) by (3m – 2)

Solution:

The above examples will help us to solve the multiplication of two binomials in horizontal method and in column method.

Types of Algebraic Expressions

Degree of a Polynomial

Subtraction of Polynomials

Power of Literal Quantities

Multiplication of Two Monomials

Multiplication of Polynomial by Monomial

Multiplication of two Binomials

Division of Monomials

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

1. ### 2nd Grade Place Value | Definition | Explanation | Examples |Worksheet

Sep 14, 24 04:31 PM

The value of a digit in a given number depends on its place or position in the number. This value is called its place value.

2. ### Three Digit Numbers | What is Spike Abacus? | Abacus for Kids|3 Digits

Sep 14, 24 03:39 PM

Three digit numbers are from 100 to 999. We know that there are nine one-digit numbers, i.e., 1, 2, 3, 4, 5, 6, 7, 8 and 9. There are 90 two digit numbers i.e., from 10 to 99. One digit numbers are ma

3. ### Worksheet on Three-digit Numbers | Write the Missing Numbers | Pattern

Sep 14, 24 02:12 PM

Practice the questions given in worksheet on three-digit numbers. The questions are based on writing the missing number in the correct order, patterns, 3-digit number in words, number names in figures…

4. ### Comparison of Three-digit Numbers | Arrange 3-digit Numbers |Questions

Sep 13, 24 02:48 AM

What are the rules for the comparison of three-digit numbers? (i) The numbers having less than three digits are always smaller than the numbers having three digits as:

5. ### Comparison of Two-digit Numbers | Arrange 2-digit Numbers | Examples

Sep 12, 24 03:07 PM

What are the rules for the comparison of two-digit numbers? We know that a two-digit number is always greater than a single digit number. But, when both the numbers are two-digit numbers

Terms of an Algebraic Expression - Worksheet

Worksheet on Types of Algebraic Expressions

Worksheet on Degree of a Polynomial