Question

Apply the Distributive Property to multiply (x−5)(x−1) .(1 point) Responses x2+6x+5 x squared plus 6 x plus 5 x2−6x+5 x squared minus 6 x plus 5 x2+5 x squared 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 all the terms together:

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

Combine the like terms \(-x - 5x\):

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

So, the final result is:

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