%2B(-4a%5E2-4a-2a%5E4).jpeg "(-8+a^2-3a^4)+(-4a^2-4a-2a^4)")
Simplifying the Expression: (-8+a^2-3a^4)+(-4a^2-4a-2a^4)
This article will guide you through simplifying the given algebraic expression: (-8+a^2-3a^4)+(-4a^2-4a-2a^4).
Understanding the Expression
The expression consists of two sets of terms enclosed in parentheses. Each term is a combination of a coefficient and a variable raised to a certain power. Let's break it down:
- (-8+a^2-3a^4): This part includes a constant term (-8), a squared term (a^2), and a term with the variable raised to the fourth power (-3a^4).
- (-4a^2-4a-2a^4): This part includes a squared term (-4a^2), a linear term (-4a), and a term with the variable raised to the fourth power (-2a^4).
Simplifying the Expression
To simplify the expression, we need to combine like terms. Like terms have the same variable raised to the same power.
- Combine the a^4 terms:
- (-3a^4) + (-2a^4) = -5a^4
- Combine the a^2 terms:
- a^2 + (-4a^2) = -3a^2
- Combine the 'a' terms:
- (-4a) remains as it is since there are no other 'a' terms.
- Combine the constant terms:
- (-8) remains as it is since there are no other constant terms.
Final Simplified Expression
After combining the like terms, the simplified expression becomes:
-5a^4 - 3a^2 - 4a - 8
This is the simplest form of the given algebraic expression.