(d2+6d+9)−(d3+6d+9)

Jasonbradley

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Jun 16, 2024

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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.