Ask a New Question
Menu

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

1 answer

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