Compare \(x^2~-~4\) with \((x~-~2)(x~+~2)\). State the features directly exposed by each form and whether they define the same function.
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What this problem is really about
Equivalent forms display different features of one function. Expanded form makes degree, leading coefficient, and the output at zero easy to read, while factored form makes zeros visible through the zero-product property. Expanding the product confirms that the two descriptions have matching values rather than merely similar appearances.
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