%E2%88%92(%E2%88%92-2%E2%88%929-%2B6)(%E2%88%92x2%E2%88%923x%2B3)%E2%88%92(%E2%88%92x2%E2%88%929x%2B6).jpeg "(− 2−3 +3)−(− 2−9 +6)(−x2−3x+3)−(−x2−9x+6)")
Simplifying the Expression: (− 2−3 +3)−(− 2−9 +6)(−x2−3x+3)−(−x2−9x+6)
This expression combines both numerical and algebraic terms. To simplify it, we need to follow the order of operations (PEMDAS/BODMAS) and pay attention to the signs.
Step 1: Simplify the numerical parts.
- (− 2−3 +3) = -2
- (− 2−9 +6) = -5
Step 2: Rewrite the expression with simplified numerical parts.
Now we have: -2 - (-5)(-x² - 3x + 3) - (-x² - 9x + 6)
Step 3: Distribute the -5.
-2 + 5x² + 15x - 15 - (-x² - 9x + 6)
Step 4: Distribute the negative sign.
-2 + 5x² + 15x - 15 + x² + 9x - 6
Step 5: Combine like terms.
(5x² + x²) + (15x + 9x) + (-2 - 15 - 6)
Step 6: Final Simplified Expression
6x² + 24x - 23
Therefore, the simplified form of the given expression is 6x² + 24x - 23.