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

Question

Responses

x^2−8x+15
x squared minus 8 x plus 15

3x^2−4x^2−3x−15
3 x squared minus 4 x squared minus 3 x minus 15

x^2−2x+15
x squared minus 2 x plus 15

2x−2
2 x minus 2

Answer 1

To find the expression equivalent to $(x-5)(x-3)$ using the Distributive Property, we can expand the expression as follows:

$$(x-5)(x-3)=x(x-3)-5(x-3)$$

This gives us:

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

Combining like terms, we have:

$$=x^2-8x+15$$

So, the expression that is equivalent to $(x-5)(x-3)$ is:

$$x^2-8x+15$$

Thus, the correct response from the options given is:

x^2−8x+15 (or x squared minus 8 x plus 15).