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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.