How do you expand (3x + 2)(x - 1)?

To expand (3x + 2)(x - 1), use the distributive property to multiply each term in the first bracket by each term in the second bracket.

First, let's break down the process step by step. The distributive property, also known as the FOIL method for binomials, stands for First, Outer, Inner, and Last. This means you multiply each term in the first bracket by each term in the second bracket.

1. **First**: Multiply the first terms in each bracket: \(3x \times x = 3x^2\).
2. **Outer**: Multiply the outer terms in the brackets: \(3x \times -1 = -3x\).
3. **Inner**: Multiply the inner terms in the brackets: \(2 \times x = 2x\).
4. **Last**: Multiply the last terms in each bracket: \(2 \times -1 = -2\).

Now, combine all these results:
\[3x^2 - 3x + 2x - 2\]

Next, simplify by combining like terms. In this case, the like terms are \(-3x\) and \(2x\):
\[3x^2 - 3x + 2x - 2 = 3x^2 - x - 2\]

So, the expanded form of \((3x + 2)(x - 1)\) is \(3x^2 - x - 2\). This method ensures you correctly distribute each term and combine like terms to get the final expanded expression.