Polynomials can be used to model many aspects of the physical world. Adding and subtracting polynomials can be done by finding the like terms and adding or subtracting those terms according to the symbol of operation. Like terms are the similar terms whose variables are same.
In Adding Polynomials first clear the parenthesis then combine the like terms. Finally add the combined like terms.

Below you could see examples

Solved Examples

Question 1: Solve $(2x^{2} - 4)+ (x ^{2} +5x-5)$
Solution:
$2x^{2} -4 + x^{2} + 5x - 5$

= $2x^{2} + x^{2} + 5x - 4 - 5$

= $3x^{2} + 5x - 9$


Question 2: Solve ($2y^4 + 3y + 2y^3 + 4y^2 + 7$) + ($ 4y^4 + 5y^3 + 4y+ 5 $)
Solution:
$ 2y^4 + 2y^3 + 4y^2 + 3y + 7 $

$4y^4 + 5y^3 +  0y^2 + 4y + 5  $  
                                                 
$6y^4 + 7y^3 + 4y^2 + 7y + 12 $