(X-2)(x+3)

To expand the expression \((x - 2)(x + 3)\), you can use the distributive property (also known as the FOIL method for binomials):

1. First, multiply the first terms: \[ x \cdot x = x^2 \]

2. Next, multiply the outer terms: \[ x \cdot 3 = 3x \]

3. Then, multiply the inner terms: \[ -2 \cdot x = -2x \]

4. Finally, multiply the last terms: \[ -2 \cdot 3 = -6 \]

Now, combine all these results together: \[ x^2 + 3x - 2x - 6 \] Combine the like terms (\(3x - 2x\)): \[ x^2 + x - 6 \]

So, the expanded form of \((x - 2)(x + 3)\) is: \[ x^2 + x - 6 \]