Apply the Distributive Property to multiply (x−5)(x−1)

Question

.(1 point)
Responses

x2+6x+5
x squared plus 6 x plus 5

x2+5
x squared plus 5

x2−6x+5
x squared minus 6 x plus 5

x2−5x+5

Answer 1

To apply the Distributive Property to multiply \( (x - 5)(x - 1) \), we can use the FOIL method (First, Outside, Inside, Last):

1. First: \( x \cdot x = x^2 \)
2. Outside: \( x \cdot (-1) = -x \)
3. Inside: \( -5 \cdot x = -5x \)
4. Last: \( -5 \cdot (-1) = 5 \)

Now, combine these results:

\[ x^2 - x - 5x + 5 = x^2 - 6x + 5 \]

Thus, the final answer is:

\[ \boxed{x^2 - 6x + 5} \]