Which expression is equivalent to the quotient? the fraction with numerator the fraction with numerator m plus 3 and denominator m squared minus 16 and denominator the fraction with numerator m squared minus 9 and denominator m plus 4

Rewrite division as multiplication by the reciprocal, then factor the differences of squares: m² − 16 = (m − 4)(m + 4) and m² − 9 = (m − 3)(m + 3). The factors m + 3 and m + 4 cancel, leaving 1/((m − 4)(m − 3)), which is choice A.

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