(x-1) (x+7)

The expression \((x - 1)(x + 7)\) can be simplified by using the distributive property (also known as the FOIL method for binomials). Here’s how you can expand it: 1. **First:** Multiply the first terms: \(x \cdot x = x^2\) 2. **Outside:** Multiply the outer terms: \(x \cdot 7 = 7x\) 3. **Inside:** Multiply the inner terms: \(-1 \cdot x = -x\) 4. **Last:** Multiply the last terms: \(-1 \cdot 7 = -7\) Now, combine all these results: \[ x^2 + 7x - x - 7 \] Combine like terms (\(7x - x\)): \[ x^2 + 6x - 7 \] So, the expanded form of the expression \((x-1)(x+7)\) is: \[ x^2 + 6x - 7 \]