Multiply (x-4) (x+2)

Answer 1

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

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

Now, let's perform each multiplication:

1. \(x \cdot x = x^2\)
2. \(x \cdot 2 = 2x\)
3. \(-4 \cdot x = -4x\)
4. \(-4 \cdot 2 = -8\)

Now, combine the results:

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

Combine the like terms (\(2x - 4x\)):

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

So, the product of \((x - 4)(x + 2)\) is:

\[ \boxed{x^2 - 2x - 8} \]