Simplifying the Expression (9x²−9x−7)−(x2−6x−2)
This article will guide you through the process of simplifying the expression (9x²−9x−7)−(x2−6x−2).
Understanding the Problem
We are asked to simplify the given expression, which involves subtracting two polynomials. To do this, we need to distribute the negative sign and then combine like terms.
Steps to Simplify

Distribute the negative sign: The minus sign in front of the second parenthesis means we need to multiply each term inside the second parenthesis by 1.
(9x²−9x−7) + (1 * x²) + (1 * 6x) + (1 * 2)

Simplify the expression:
9x²  9x  7  x² + 6x + 2

Combine like terms: Combine the terms with the same variable and exponent.
(9x²  x²) + (9x + 6x) + (7 + 2)

Final Result:
8x²  3x  5
Conclusion
Therefore, the simplified form of the expression (9x²−9x−7)−(x2−6x−2) is 8x²  3x  5.