Question

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

x2−8x+15
x squared minus 8 x plus 15

x2−2x+15
x squared minus 2 x plus 15

2x−2
2 x minus 2

3x2−4x2−3x−15

Answer 1

To verify which expression is equivalent to \( (x−5)(x−3) \) using the Distributive Property, we can expand the expression:

\[
(x - 5)(x - 3) = x(x - 3) - 5(x - 3)
\]
\[
= x^2 - 3x - 5x + 15
\]
\[
= x^2 - 8x + 15
\]

Now, let's compare our result \( x^2 - 8x + 15 \) with the provided responses. The equivalent expression is:

**x² − 8x + 15**