Which expression represents the correct form of the partial fraction decomposition of the fraction with numerator 19 x plus 20 and denominator x squared minus 64 ?

Factor the denominator: x² − 64 = (x − 8)(x + 8). These are two distinct linear factors, so the partial fraction form has a constant numerator over each factor: A/(x − 8) + B/(x + 8). This matches choice A, with A and B serving as unknown constants.

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