(х-4)(х+3)

To simplify the expression \((x - 4)(x + 3)\), you can use the distributive property (also known as the FOIL method for binomials). 1. **First Terms:** \(x \cdot x = x^2\) 2. **Outer Terms:** \(x \cdot 3 = 3x\) 3. **Inner Terms:** \(-4 \cdot x = -4x\) 4. **Last Terms:** \(-4 \cdot 3 = -12\) Now, combine the results: \[ x^2 + 3x - 4x - 12 \] Combine the like terms \(3x\) and \(-4x\): \[ x^2 - x - 12 \] Thus, the simplified form of \((x - 4)(x + 3)\) is: \[ x^2 - x - 12 \]