Question

Use the Distributive Property to verify which expression is equivalent to (x−5)(x−3) .(1 point)
x^2−2x+15
2x−2
3x^2−4x^2−3^x−15
x^2−8x+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, we can see that \((x−5)(x−3)\) simplifies to:

\[
x^2 - 8x + 15
\]

Thus, the expression that is equivalent to \((x−5)(x−3)\) is:

\[
\boxed{x^2 - 8x + 15}
\]