Simplifying the Expression (8a⁵  4) + (3a⁵ + a  2)
This article will guide you through the process of simplifying the algebraic expression (8a⁵  4) + (3a⁵ + a  2).
Understanding the Process
The key to simplifying this expression is to combine like terms. Like terms are terms that have the same variable and exponent. In our expression, we have the following:
 Like terms: 8a⁵ and 3a⁵
 Like terms: 4 and 2
 Unlike term: a
StepbyStep Simplification

Remove the parentheses: Since we are adding the two expressions, the parentheses do not change the signs of the terms inside.
(8a⁵  4) + (3a⁵ + a  2) = 8a⁵  4 + 3a⁵ + a  2

Combine like terms: Add the coefficients of the terms with the same variable and exponent.
8a⁵ + 3a⁵  4  2 + a = 11a⁵  6 + a

Rearrange in standard form (optional): It's customary to write polynomials in descending order of exponents.
11a⁵  6 + a = 11a⁵ + a  6
Final Answer
The simplified form of the expression (8a⁵  4) + (3a⁵ + a  2) is 11a⁵ + a  6.