Question

Multiply and write in standard form.

(x + 4)(x - 8)

(2 points)

Answer 1

To multiply the expression \((x + 4)(x - 8)\), we will use the distributive property (also known as the FOIL method for binomials):

1. **First terms**: \(x \cdot x = x^2\)
2. **Outer terms**: \(x \cdot (-8) = -8x\)
3. **Inner terms**: \(4 \cdot x = 4x\)
4. **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:

\[
\boxed{x^2 - 4x - 32}
\]