(−x2−3x+3)−(−x2−9x+6)answer

less than a minute read Jun 17, 2024
(−x2−3x+3)−(−x2−9x+6)answer

Simplifying the Expression: (−x2−3x+3)−(−x2−9x+6)

This problem involves simplifying an expression with polynomials. Let's break it down step-by-step:

1. Distribute the Negative Sign

The minus sign in front of the second set of parentheses acts as a multiplier. We distribute it to each term inside the parentheses:

(−x² − 3x + 3) + (x² + 9x - 6)

2. Combine Like Terms

Now we can combine terms with the same variable and exponent:

  • x² terms: -x² + x² = 0
  • x terms: -3x + 9x = 6x
  • Constant terms: 3 - 6 = -3

3. Final Result

After combining like terms, the simplified expression is:

6x - 3