Compare Quantity A and Quantity B.Quantity A: x² - 4, Quantity B: (x - 5)^2 - 5,Given: x > 0

This choice assumes that for all positive values of x, the expression \(x^2 - 4\) will always exceed \((x - 5)^2 - 5\). However, for certain values of x, such as when \(x = 1\), Quantity A equals \(-3\) while Quantity B equals \(-4\), contradicting this assertion.

This choice suggests that \((x - 5)^2 - 5\) consistently exceeds \(x^2 - 4\) for all positive x. Yet, if we take \(x = 6\), Quantity A becomes \(32\) while Quantity B equals \(16\), showing that Quantity A can be greater than Quantity B.

For this choice to be valid, the two expressions must yield the same result for all positive x. However, testing different values of x demonstrates that they are not equal universally. For instance, when \(x = 5\), both quantities equal \(21\), but for other positive x values, they diverge.