-(4x%5E2-5x%2B4).jpeg "(8x^2-6x-3)-(4x^2-5x+4)")
Simplifying the Expression: (8x^2-6x-3)-(4x^2-5x+4)
This article will guide you through the process of simplifying the expression (8x^2-6x-3)-(4x^2-5x+4).
Understanding the Problem
We are given a subtraction problem involving two polynomials. The goal is to simplify this expression by combining like terms.
Step-by-Step Solution
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Distribute the negative sign: Since we are subtracting the entire second polynomial, we need to distribute the negative sign. This means changing the sign of each term inside the second parentheses:
(8x^2 - 6x - 3) + (-4x^2 + 5x - 4)
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Combine like terms: Now, identify and group terms with the same variable and exponent:
(8x^2 - 4x^2) + (-6x + 5x) + (-3 - 4)
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Simplify: Perform the indicated operations for each group:
4x^2 - x - 7
Final Result
The simplified form of the expression (8x^2-6x-3)-(4x^2-5x+4) is 4x^2 - x - 7.
Key Points
- Distributing the negative sign: Remember to change the sign of all terms within the second parenthesis.
- Combining like terms: Only terms with the same variable and exponent can be added or subtracted together.
- Simplifying: Perform the necessary operations to get the final, simplified expression.
By following these steps, you can confidently simplify polynomial expressions involving subtraction.