Simplifying Algebraic Expressions: (6x^4-x^3+5)-(2x^4+3x^3-1)
In this article, we will explore the process of simplifying an algebraic expression by combining like terms. The expression we will be working with is:
Original Expression: (6x^4-x^3+5)-(2x^4+3x^3-1)
Our goal is to simplify this expression by combining like terms.
Step 1: Distribute the Negative Sign
First, we need to distribute the negative sign to the terms inside the parentheses:
6x^4-x^3+5 - 2x^4 - 3x^3 + 1
Step 2: Combine Like Terms
Now, we can combine like terms:
- Combine the
x^4
terms:6x^4 - 2x^4 = 4x^4
- Combine the
x^3
terms:-x^3 - 3x^3 = -4x^3
- Combine the constant terms:
5 + 1 = 6
Simplified Expression:
The simplified expression is:
4x^4 - 4x^3 + 6
Conclusion
In this article, we have simplified the algebraic expression (6x^4-x^3+5)-(2x^4+3x^3-1)
by combining like terms. The final simplified expression is 4x^4 - 4x^3 + 6
.