Question

Multiply left-parenthesis x plus 2 right-parenthesis left-parenthesis x minus 6 right-parenthesis

Answer options with 5 options
A.
x squared minus 8 x minus 12

B.
x squared plus 8 x minus 12

C.
x squared minus 4 x minus 12

D.
x squared plus 4 x minus 12

E.
x squared minus 4 x plus 12

Answer 1

To multiply the expression \((x + 2)(x - 6)\), you can use the distributive property (also known as the FOIL method for binomials):

1. **First**: Multiply the first terms: \(x \cdot x = x^2\).
2. **Outer**: Multiply the outer terms: \(x \cdot (-6) = -6x\).
3. **Inner**: Multiply the inner terms: \(2 \cdot x = 2x\).
4. **Last**: Multiply the last terms: \(2 \cdot (-6) = -12\).

Now, combine all these results together:

\[
x^2 - 6x + 2x - 12
\]

Combine the like terms \(-6x + 2x\):

\[
x^2 - 4x - 12
\]

So, the final result is:

\[
x^2 - 4x - 12
\]

Looking at the options provided, the correct answer is:

**C. \(x^2 - 4x - 12\)**.