## Simplifying Polynomial Expressions

In mathematics, simplifying polynomial expressions involves combining like terms and arranging them in a standard form. Let's explore how to simplify the following expression:

**(8x³ - 6x⁴ + 3) - (3x³ - 3 + 8x⁴)**

### Step 1: Distribute the Negative Sign

First, we need to distribute the negative sign in front of the second set of parentheses. Remember that multiplying a negative sign by each term inside the parentheses changes the sign of each term:

**(8x³ - 6x⁴ + 3) + (-3x³ + 3 - 8x⁴)**

### Step 2: Combine Like Terms

Now, we can group the terms with the same variable and exponent together:

**(-6x⁴ - 8x⁴) + (8x³ - 3x³) + (3 + 3)**

### Step 3: Simplify

Finally, we combine the coefficients of the like terms:

**-14x⁴ + 5x³ + 6**

Therefore, the simplified form of the given expression is **-14x⁴ + 5x³ + 6**.