(6x^4-x^3+5)-(2x^4+3x^3-1)

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Jun 03, 2024

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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.