## What is the Additive Inverse of the Polynomial –9Xy2 + 6X2Y – 5X3?

**The additive inverse of the polynomial –9Xy2 + 6X2Y – 5X3 is 9Xy2 – 6X2Y + 5X3. Polynomials are mathematical expressions containing variables and coefficients.**

The additive inverse of a polynomial is found by changing the sign of each term within the polynomial. In this case, the additive inverse of the given polynomial -9Xy2 + 6X2Y – 5X3 is 9Xy2 – 6X2Y + 5X3. Understanding the concept of additive inverses is crucial for algebraic manipulation and solving equations.

By learning how to find the additive inverse of polynomials, one can effectively perform mathematical operations and simplify expressions. This skill is particularly relevant in advanced algebra, calculus, and engineering disciplines. So, let’s delve into the process of finding the additive inverse of polynomials and its significance in mathematical problem-solving.

## Conclusion

To find the additive inverse of the polynomial –9Xy2 + 6X2Y – 5X3, we simply change the sign of each term. Therefore, the additive inverse of this polynomial is 9Xy2 – 6X2Y + 5X3. By understanding the concept of additive inverses, we can easily manipulate polynomials and solve mathematical problems.

Keep practicing and exploring to improve your polynomial skills.