Use the distributive property to prove that these algebraic expressions are equivalent. Explain the answer in 1 sentence.

To prove that the expressions \((x-5)(x+3)\) and \(2x^2 - x^2 - 2x - 20 + 5\) are equivalent, we can expand Expression 1 using the distributive property:

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

Now, simplify Expression 2:

\[
2x^2 - x^2 - 2x - 20 + 5 = x^2 - 2x - 15.
\]

Since both expressions simplify to \(x^2 - 2x - 15\), they are equivalent.