-(d%5E3%2B6d%2B9).jpeg "(d^2+6d+9)-(d^3+6d+9)")
Simplifying the Expression (d^2+6d+9)-(d^3+6d+9)
This article will guide you through the process of simplifying the given algebraic expression: (d^2+6d+9)-(d^3+6d+9)
Step 1: Distribute the Negative Sign
The minus sign in front of the second parenthesis indicates that we need to multiply each term inside the second parenthesis by -1.
This gives us: d^2 + 6d + 9 - d^3 - 6d - 9
Step 2: Combine Like Terms
Now, we combine the terms that have the same variable and exponent:
- d^2 and -d^3 are not like terms, so we leave them as they are.
- 6d and -6d cancel each other out.
- 9 and -9 cancel each other out.
Step 3: Final Result
After combining like terms, the simplified expression is: -d^3 + d^2
Conclusion
Therefore, the simplified form of the expression (d^2+6d+9)-(d^3+6d+9) is -d^3 + d^2. Remember, it is essential to distribute the negative sign before combining like terms.