(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:

\[ x^2 - x - 12 \]