# Factor By Grouping Calculator

Cuemath's Factor By Grouping is an online tool that helps to calculate the grouping of terms with common factors.

## What is the Factor By Grouping Calculator?

Cuemath's online Factor By Grouping calculator helps you to calculate the grouping of terms with common factors within a few seconds.

NOTE: Please enter the values upto 4th or 5th degree polynomial.

## How to Use Factor By Grouping Calculator?

Please follow the below steps to find the grouping of terms with common factors:

**Step1:**Enter the polynomial in the given input box.**Step 2:**Click on the**"Solve"**button to find the grouping of terms with common factors.**Step 3:**Click on the**"Reset"**button to clear the fields and find the grouping of terms with common factors for different polynomials.

## How to Find Factor By Grouping?

Follow the steps mentioned below to factorize a polynomial.

- Factor out if there is a factor common to all the terms of the polynomial.
- Identify the appropriate method to factorize the polynomial. You can use regrouping or algebraic identities to find the factors of the polynomial.
- Write polynomial as the product of its factors.

**Solved Example:**

Find the factor by grouping for polynomial 16xy + 16y + 32x + 32

**Solution:**

4 is a single factor common to all the terms of this polynomial.

= 16xy + 16y + 32x + 32

= 4(4xy + 4y + 8x + 8)

Here, we will do factoring polynomial by grouping.

Let us write 4xy + 4y and 8x + 8 in the factored form separately.

4xy + 4y = 4y( x + 1)

8x + 8 = 8(x + 1)

So, 16xy + 16y + 32x + 32

= 4(4xy + 4y + 8x + 8)

= 4(4y( x + 1) + 8(x + 1)) which is factored form.

Similarly, you can try the calculator to find the factor by grouping for

1) x^{4} - 4x^{2}

2) x^{2}y^{2} + y^{4}