(8x2−6x−3)–(4x2−5x+4)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (8x²−6x−3)–(4x²−5x+4)

This article will guide you through the process of simplifying the algebraic expression (8x²−6x−3)–(4x²−5x+4).

Understanding the Expression

The expression involves subtracting two polynomials. To simplify, we need to distribute the negative sign and combine like terms.

Step-by-Step Solution

1. Distribute the negative sign:

   • (8x²−6x−3) + (-1)(4x²−5x+4)
   • 8x²−6x−3 - 4x² + 5x - 4

2. Combine like terms:

   • (8x² - 4x²) + (-6x + 5x) + (-3 - 4)

3. Simplify:

   • 4x² - x - 7

Conclusion

The simplified form of the expression (8x²−6x−3)–(4x²−5x+4) is 4x² - x - 7.

Remember: When simplifying expressions with parentheses and subtraction, remember to distribute the negative sign to all terms within the parentheses before combining like terms.