Add. (2a^4-2a^3+3a^2+14a-5)+(a^5+7a^3+7a^2-3a+2)+(-5a^4+a^2-8a-6)
Add all terms with the same exponent of a, and add all constants. You get
a^5 -3a^4 + 5a^3 + ... -9
Fill in the a^2 and a terms. You need the practice.
To add the given polynomial expressions, we simply combine the like terms. Like terms are those that have the same variable(s) raised to the same exponent(s).
Let's start by rearranging the terms in a descending order of exponents:
(2a^4 - 5a^4) + (a^5) + (-2a^3 + 7a^3) + (3a^2 + 7a^2 + a^2) + (14a) + (-8a - 3a) + (-5 + 2 - 6)
Now, let's combine the like terms:
(a^5) + (-3a^4) + (5a^3) + (11a^2) + (3a) + (-9)
Therefore, the sum of the given polynomial expressions is:
a^5 - 3a^4 + 5a^3 + 11a^2 + 3a - 9