Simplifying Polynomial Expressions
This article will guide you through the steps to simplify the polynomial expression: (−8x²−5x+8)−(−6x² + 3x − 3)
Understanding the Problem
The problem involves subtracting two polynomials. We need to simplify the expression by combining like terms.
StepbyStep Solution

Distribute the Negative Sign: The minus sign in front of the second parenthesis indicates we need to distribute it to each term inside the parenthesis. This changes the signs of all terms within the parenthesis:
(−8x²−5x+8) + (6x²  3x + 3)

Combine Like Terms: Now, identify and group the terms with the same variable and exponent:
 x² terms: 8x² + 6x² = 2x²
 x terms: 5x  3x = 8x
 Constant terms: 8 + 3 = 11

Write the Simplified Expression: Combine the simplified terms:
2x²  8x + 11
Conclusion
Therefore, the simplified form of the expression (−8x²−5x+8)−(−6x² + 3x − 3) is 2x²  8x + 11.