## Simplifying Polynomial Expressions

This article will guide you through the process of simplifying the following polynomial expression:

**(8x² + 3x - 4) + (-2x² + 8x)**

### Understanding the Steps

To simplify this expression, we'll follow these steps:

**Identify Like Terms:**Look for terms with the same variable and exponent.**Combine Like Terms:**Add or subtract the coefficients of like terms.

### Simplifying the Expression

Let's apply the steps to our expression:

**1. Identify Like Terms:**

**x² terms:**8x² and -2x²**x terms:**3x and 8x**Constant terms:**-4

**2. Combine Like Terms:**

**x² terms:**8x² + (-2x²) = 6x²**x terms:**3x + 8x = 11x**Constant terms:**-4 (remains unchanged)

### Final Result

By combining like terms, we obtain the simplified expression:

**(8x² + 3x - 4) + (-2x² + 8x) = 6x² + 11x - 4**

### Conclusion

The simplified form of the given polynomial expression is **6x² + 11x - 4**. Remember to always identify and combine like terms to simplify expressions effectively.