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

= a= a

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:

3x

= (3x

= 3x

= 6x

= 6x

= 6x

**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.

**● ****Terms of an Algebraic Expression**

Types of Algebraic Expressions

Multiplication of Two Monomials

Multiplication of Polynomial by Monomial

Multiplication of two Binomials

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**● ****Terms of an Algebraic Expression - Worksheet**

Worksheet on Types of Algebraic Expressions

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Worksheet on Multiplying Monomial and Binomial

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