# Adding and Subtracting Polynomials Calculator

'Cuemath's Adding and Subtracting Polynomials Calculator' is an online tool that helps to calculate the sum and difference of two polynomials.

## What is Adding and Subtracting Polynomials Calculator?

Cuemath's online Adding and Subtracting Polynomials Calculator helps you to calculate the sum and difference of two polynomials within a few seconds.

## How to Use Adding and Subtracting Polynomials Calculator?

Please follow the below steps to find the sum and difference of two polynomials:

**Step 1**: Enter the polynomial 1 and polynomial 2 in the given input box.**Step 2**: Click on the "**Calculate**" button to find the sum and difference of two polynomials.**Step 3**: Click on the "**Reset**" button to clear the fields and find the sum and difference of two different polynomials.

## How to Find Adding and Subtracting Polynomials?

"A polynomial is defined as a type of expression in which the exponents of all variables should be a whole number. To add or subtract two polynomials, add or subtract the coefficients of variables having the same power

Let's look at the solved example to understand briefly.

**Solved Example:**

Find the sum and difference of 1 + 3x^{2} and 2x^{2} + 5x^{4}

**Solution: **

### Addition:

= (1 + 3x^{2}) + (2x^{2} + 5x^{4})

= 1 + (3 + 2)x^{2} + 5x^{4} [First add the coefficients having the same power of x]

= 1 + 5x^{2} + 5x^{4}

Therefore, the sum of two polynomials is 1 + 5x^{2} + 5x^{4}.

### Subtraction:

= (1 + 3x^{2}) - (2x^{2} + 5x^{4})

= 1 + (3 - 2)x^{2} + 5x^{4} [First subtract the coefficients having the same power of x]

= 1 + x^{2} + 5x^{4}

Therefore, the difference between the two polynomials is 1 + x^{2} + 5x^{4}.

Similarly, you can use the calculator to find the sum and difference of the given polynomials:

- 9x
^{2}+ 7 and 2y^{4}+ x^{2} - 4x
^{2}+ 10y^{3}and 2y^{3}+ x^{2}

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