se the Distributive Property to verify which expression is equivalent to (x−5)(x−3).

Answer 1

The Distributive Property states that for any three numbers a, b, and c, a(b+c) = ab + ac.

Using this property, we can expand (x−5)(x−3):

(x−5)(x−3) = x(x−3) - 5(x−3)

Now, let's distribute the x and -5:

= x*x - 3*x - 5*x + 5*3

= x^2 - 3x - 5x + 15

Combining like terms, we get:

= x^2 - 8x + 15

Therefore, the expression that is equivalent to (x−5)(x−3) is x^2 - 8x + 15.