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

Answer 1

To apply the distributive property to multiply (x-5)(x-1), we distribute the factor (x-5) to each term within the factor (x-1):

(x-5)(x-1) = x(x-1) - 5(x-1)

Next, we simplify each term:

1. x(x-1) = x^2 - x
2. 5(x-1) = 5x - 5

Putting the simplified terms together, we have:

(x-5)(x-1) = x^2 - x - 5x + 5

Simplifying further:

(x-5)(x-1) = x^2 - 6x + 5