%E2%88%92(d3%2B6d%2B9).jpeg "(d2+6d+9)−(d3+6d+9)")
Simplifying the Expression: (d² + 6d + 9) - (d³ + 6d + 9)
This problem involves simplifying an algebraic expression by subtracting two polynomials. Here's a step-by-step guide:
1. Distribute the Negative Sign
First, we distribute the negative sign in front of the second set of parentheses:
(d² + 6d + 9) - (d³ + 6d + 9) = d² + 6d + 9 - d³ - 6d - 9
2. Combine Like Terms
Next, we identify and combine like terms:
- d²: We have one term with d²: d²
- d³: We have one term with d³: -d³
- d: We have two terms with d: 6d - 6d = 0
- Constant: We have two constant terms: 9 - 9 = 0
3. Simplified Expression
After combining like terms, the simplified expression becomes:
-d³ + d²
Conclusion
Therefore, the simplified form of the expression (d² + 6d + 9) - (d³ + 6d + 9) is -d³ + d².