Expand (x + 2)(x + 3).

## The reasoning When expanding two brackets, we use the **FOIL method** (First, Outer, Inner, Last) or simply "multiply everything in the first bracket by everything in the second." Let's work through **(x + 2)(x + 3)**: - **First terms**: x × x = x² - **Outer terms**: x × 3 = 3x - **Inner terms**: 2 × x = 2x - **Last terms**: 2 × 3 = 6 Now combine: x² + 3x + 2x + 6 = **x² + 5x + 6** Notice the middle term (5x) comes from adding the two "x" terms together (3x + 2x), and the constant (6) is just multiplying the two numbers (2 × 3). ## Why the wrong options tempt you **Option B (x² + 6x + 5)**: You swapped the coefficient and constant — maybe you multiplied 2 × 3 = 6 but placed it with x instead. **Option C (x² + 5x + 5)**: You forgot to multiply the constants properly (2 × 3 = 6, not 5). **Option D (x² + 6)**: You completely missed the middle term! Never forget to add those outer and inner products. ## Quick takeaway **Middle term = sum of the numbers (2 + 3 = 5), constant = product of the numbers (2 × 3 = 6).**