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

Question

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:

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