Use the Distributive Property to verify which expression is equivalent to (x−5)(x−3).(1 point)

Question

Responses

2x−2
2 x minus 2

3x2−4x2−3x−15
3 x squared minus 4 x squared minus 3 x minus 15

x2−2x+15
x squared minus 2 x plus 15

x2−8x+15
x squared minus 8 x plus 15

Answer 1

To verify which expression is equivalent to (x−5)(x−3), we need to distribute the factors using the Distributive Property:

(x−5)(x−3)
= x(x) + x(-3) + (-5)(x) + (-5)(-3)
= x^2 - 3x - 5x + 15
= x^2 - 8x + 15

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