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Adding and Subtracting Polynomials Calculator is used for adding polynomials and subtracting polynomials.

Addition and subtraction of polynomials means adding or subtracting like terms, constants. In this calculator, we see the operations of adding and subtracting polynomials. This calculator helps to understand how we add polynomials or subtract polynomials. Polynomials calculator solves different type of polynomial problems of addition and subtraction.

You can see two default polynomials along with mathematical operation given below. When you click on "Calculate", addition of polynomials takes place in this case.

## Step by Step Calculation

Step 1 :

First we need to regroup the given two polynomials.

Step 2 :

Now perform basic opertions(i.e. addition or subtraction) with like terms or constants and simplify it further.

## Example Problems

1. ### Simplify by Adding these two polynomials(12x + 10y) + (23x - 16y)

Step 1 :

Given: (12x + 10y) + (23x - 16y)

Remove the Parenthesis.

12x + 10y + 23x - 16y

Step 2 :

Group the like terms.

= 12x + 23x + 10y - 16y

12x + 23x = 35x

10y - 16y = -6y

Now combine the terms

= 35x - 6y

35x - 6y

2. ### Simplify by subtracting these two polynomials(14x2 + 22y) - (11x2 - 18y)

Step 1 :

Given: (14x2 + 22y) - (11x2 - 18y)

Remove the Parenthesis.

14x2 + 22y - 11x2 - 18y

Step 2 :

Group the like terms.

= 14x2 - 11x2 + 22y -(-18y)

= 14x2 - 11x2 + 22y + 18y

Subtracting this like terms

14x2 - 11x2 = 3x2

22y + 18y = 40y

Now combine the terms

3x2 + 40y