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Adding and Subtracting Polynomials Calculator
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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

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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

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  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


     


    Add these like terms.


     


    12x + 23x = 35x


    10y - 16y = -6y


     


    Now combine the terms


     


    = 35x - 6y



    Answer  :  

    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



    Answer  :  

    3x2 + 40y



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