Adding and Subtracting Polynomials
In the next example, we combine addition and subtraction of polynomials.
Adding and subtracting polynomials
Perform the indicated operations:
(2x^{2}  3x) + (x^{3} + 6)  (x^{4}  6x^{2}
 9)
Solution
Remove the parentheses and combine like terms:
(2x^{2}  3x) + (x^{3} + 6)  (x^{4
}  6x^{2}  9) 
= 2x^{2}  3x + x^{3} + 6  x^{4 } +
6x^{2} + 9 

=  x^{4 } + x^{3} + 8x^{2} 
3x + 15 
