## 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.