To multiply the expression \((x + 4)(x - 8)\), we will use the distributive property (also known as the FOIL method for binomials):
- First terms: \(x \cdot x = x^2\)
- Outer terms: \(x \cdot (-8) = -8x\)
- Inner terms: \(4 \cdot x = 4x\)
- Last terms: \(4 \cdot (-8) = -32\)
Now, we combine these results:
\[ x^2 - 8x + 4x - 32 \]
Next, we combine the like terms \(-8x\) and \(4x\):
\[ x^2 - 4x - 32 \]
So, the expression \((x + 4)(x - 8)\) multiplied and written in standard form is:
\[ \boxed{x^2 - 4x - 32} \]