# Multiplying Binomials Calculator

'**Multiplying Binomials Calculator** ' is an online tool that is used to find the product between two binomials.

## What is Multiplying Binomials Calculator?

Multiplying Binomials Calculator is an online tool that is used to find the product between two binomials. This calculator will get the two binomials and return the product in a few seconds.

### Multiplying Binomials Calculator

**NOTE:** Enter coefficients upto 2 digits only.

## How to Use the Multiplying Binomials Calculator?

Follow these steps which will help you to use the calculator.

**Step 1**: Enter the binomial coefficients in the input box.**Step 2**: Click on "**Multiply**" to find the product between two binomials.**Step 3**: Click on "**Reset**" to clear the field and enter a new value.

## What are Binomials?

A Binomial is an algebraic expression with two terms. In general terms, a binomial is defined as the sum of two monomials.

A Binomial is represented as : **ax + b**

## How to multiply binomials?

Given two binomials (ax + b) and (cx + d), the product will be as follows:

- x
^{2 }term = a*c - x term = a*d+b*c
- constant = b*d

The answer will be of the form mx^{2 }+ kx + g.

**Solved Examples on Multiplying Binomials Calculator**

**Example 1:**

Find the product of 3x+7 and 4x+2.

**Solution: **

Substituting the value in the given formula:

- x
^{2 }term = 3*4 = 12 - x term = 3*2+ 7*4=34
- constant = 7*2=14

Hence the product is 12x^{2 }+ 34x + 14

**Example 2:**

Find the product of 2x + 6 and 7x + 8.

**Solution: **

Substituting the value in the given formula:

- x
^{2 }term = 2*7 = 14 - x term = 2*8 + 6*7 = 58
- constant = 8*6 = 48

Hence the product is 14x^{2 }+ 58x + 48

**Example 3:**

Find the product of 9x - 7 and 3x + 4.

**Solution: **

Substituting the value in the given formula:

- x
^{2 }term = 9*3 = 27 - x term = 9*4 - 7*3 = 15
- constant = -7*4 = -28

Hence the product is 27x^{2 }+ 15x - 28

Now use the calculator to find out the product between the given binomials:

- 7x + 3 and 2x + 9
- 12x + 1 and 5x + 3

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