%E2%88%92(%E2%88%926x2%2B3x%E2%88%923).jpeg "(−8x2−5x+8)−(−6x2+3x−3)")
Simplifying the Expression: (−8x2−5x+8)−(−6x2+3x−3)
This article will guide you through simplifying the given algebraic expression: (−8x2−5x+8)−(−6x2+3x−3).
Understanding the Problem
The expression involves subtraction of two polynomials. We need to simplify it by combining like terms.
Step-by-Step Solution
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Distribute the negative sign: The minus sign in front of the second set of parentheses changes the sign of each term inside it.
(-8x^2 - 5x + 8) + (6x^2 - 3x + 3) -
Combine like terms: Identify terms with the same variable and exponent and add their coefficients.
(-8x^2 + 6x^2) + (-5x - 3x) + (8 + 3) -
Simplify: Combine the coefficients of the like terms.
-2x^2 - 8x + 11
Final Result
Therefore, the simplified form of the expression (−8x2−5x+8)−(−6x2+3x−3) is -2x^2 - 8x + 11.
Key Takeaways
- Distribute negative signs: Remember to change the sign of each term within parentheses when a negative sign precedes them.
- Combine like terms: Combine terms with the same variable and exponent by adding their coefficients.
- Simplify: The result should be a simplified polynomial expression.