Question

Multiply (x−4)(x+2) .(1 point) Responses x2−6x+8 x squared minus 6 x plus 8 x2+8 x squared plus 8 x2+6x+8 x squared plus 6 x plus 8 x2−2x−8

Answer 1

To multiply \( (x - 4)(x + 2) \), we can apply the distributive property (also known as the FOIL method for binomials):

\[
(x - 4)(x + 2) = x \cdot x + x \cdot 2 - 4 \cdot x - 4 \cdot 2
\]

Calculating each term:

- \( x \cdot x = x^2 \)
- \( x \cdot 2 = 2x \)
- \( -4 \cdot x = -4x \)
- \( -4 \cdot 2 = -8 \)

Now, combine the terms:

\[
x^2 + 2x - 4x - 8 = x^2 - 2x - 8
\]

So, the final result is:

\[
x^2 - 2x - 8
\]

The correct response from your options is:

**\(x^2 - 2x - 8\)**.